Matches for: Anywhere=birch and "swinnerton-dyer conjecture"

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Matches for: Anywhere=birch and "swinnerton-dyer conjecture"	MSN-Support	Help

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[1]

1 764 717 David, Chantal Characteristic polynomials of abelian varieties over $\bold F\sb p$. C. R. Math. Acad. Sci. Soc. R. Can. 22 (2000), no. 2, 55--60. 14G10 (11Gxx 14Kxx)

[2]

1 727 298 (Review) Kato, Kazuya Euler systems, Iwasawa theory, and Selmer groups. Kodai Math. J. 22 (1999), no. 3, 313--372. (Reviewer: Alexey A. Panchishkin) 11G40 (11F67 11F85 11R23 19F15)

[3]

1 689 260 (Review) James, Kevin; Ono, Ken Selmer groups of quadratic twists of elliptic curves. Math. Ann. 314 (1999), no. 1, 1--17. (Reviewer: Massimo Bertolini) 11G40 (11F30 11F37 11G05 11R29)

[4]

1 695 801 (Review) Rodriguez Villegas, Fernando; Yang, Tonghai Central values of Hecke $L$-functions of CM number fields. Duke Math. J. 98 (1999), no. 3, 541--564. (Reviewer: Andrea Mori) 11F67 (11F37 11F41 11G40)

[5]

2000i:19014 Chinburg, T.; Kolster, M.; Pappas, G.; Snaith, V. Nearly perfect complexes and Galois module structure. Compositio Math. 119 (1999), no. 2, 133--155. (Reviewer: Kanetomo Sato) 19F27 (11G40 11G45 11R33 14G15)

[6]

2000i:11103 VanderKam, Jeffrey M. The rank of quotients of $J\sb 0(N)$. Duke Math. J. 97 (1999), no. 3, 545--577. (Reviewer: Chandrashekhar Khare) 11G40 (11F67 11F72 11G18)

[7]

2000i:11086 James, Kevin An example of an elliptic curve with a positive density of prime quadratic twists which have rank zero. Topics in number theory (University Park, PA, 1997), 223--227, Math. Appl., 467, Kluwer Acad. Publ., Dordrecht, 1999. (Reviewer: Fernando Rodríguez Villegas) 11G05 (11F37 11G40)

[8]

2000g:11063 Soulé, Christophe $K$-theory and values of zeta functions. Algebraic $K$-theory and its applications (Trieste, 1997), 255--283, World Sci. Publishing, River Edge, NJ, 1999. (Reviewer: Jan Neková\v r) 11G55 (11F70 11G40 11R42 14G10 19F27)

[9]

2000g:11062 Somekawa, Mutsuro Log-syntomic regulators and $p$-adic polylogarithms. $K$-Theory 17 (1999), no. 3, 265--294. (Reviewer: Jan Neková\v r) 11G55 (11G40 14F30 14F42 19F27)

[10]

2000g:11057 Scholl, A. J. An introduction to Kato's Euler systems. Galois representations in arithmetic algebraic geometry (Durham, 1996), 379--460, London Math. Soc. Lecture Note Ser., 254, Cambridge Univ. Press, Cambridge, 1998. (Reviewer: Amnon Besser) 11G40 (11G16 11G18 11S25 14F30 19F15 19F27)

[11]

2000g:11032 Vatsal, V. Canonical periods and congruence formulae. Duke Math. J. 98 (1999), no. 2, 397--419. (Reviewer: M. Ram Murty) 11F33 (11F30 11F67 11G40)

[12]

2000f:11114 Katz, Nicholas M.; Sarnak, Peter Zeroes of zeta functions and symmetry. Bull. Amer. Math. Soc. (N.S.) 36 (1999), no. 1, 1--26. (Reviewer: Daniel A. Goldston) 11M41 (11F66 11G40)

[13]

2000f:11081 Peyre, Emmanuel Terme principal de la fonction zêta des hauteurs et torseurs universels. (French) [Principal term of the zeta function of heights and universal torsors] Nombre et répartition de points de hauteur bornée (Paris, 1996). Astérisque No. 251, (1998), 259--298. (Reviewer: Carlo Gasbarri) 11G50 (14G05 14G10)

[14]

2000f:11077 Colmez, Pierre Théorie d'Iwasawa des représentations de de Rham d'un corps local. (French) [Iwasawa theory of de Rham representations of a local field] Ann. of Math. (2) 148 (1998), no. 2, 485--571. (Reviewer: Adolfo Quirós) 11G45 (11R23 11S25 11S31 11S40 14F30 14G10)

[15]

2000f:11076 James, Kevin Elliptic curves satisfying the Birch and Swinnerton-Dyer conjecture mod $3$. J. Number Theory 76 (1999), no. 1, 16--21. (Reviewer: Kenneth Kramer) 11G40 (11F67)

[16]

2000f:11075 Bertolini, Massimo; Darmon, Henri $p$-adic periods, $p$-adic $L$-functions, and the $p$-adic uniformization of Shimura curves. Duke Math. J. 98 (1999), no. 2, 305--334. (Reviewer: Chandrashekhar Khare) 11G40 (11F33 11G18)

[17]

2000e:14023 Coleman, Robert; Iovita, Adrian The Frobenius and monodromy operators for curves and abelian varieties. Duke Math. J. 97 (1999), no. 1, 171--215. (Reviewer: Bruno Chiarellotto) 14F30 (14F40 14K15)

[18]

2000e:11085 Villegas, F. Rodriguez Modular Mahler measures. I. Topics in number theory (University Park, PA, 1997), 17--48, Math. Appl., 467, Kluwer Acad. Publ., Dordrecht, 1999. (Reviewer: Jan Neková\v r) 11G40 (11R06 19F27)

[19]

2000e:11084 Goncharov, Alexander Mixed elliptic motives. Galois representations in arithmetic algebraic geometry (Durham, 1996), 147--221, London Math. Soc. Lecture Note Ser., 254, Cambridge Univ. Press, Cambridge, 1998. (Reviewer: Jan Neková\v r) 11G40 (11G09 11G55 14C35 14G10 19F27)

[20]

2000e:11083 Agashé, Amod On invisible elements of the Tate-Shafarevich group. C. R. Acad. Sci. Paris Sér. I Math. 328 (1999), no. 5, 369--374. (Reviewer: Kenneth Kramer) 11G40 (11G10 11G18)

[21]

2000e:11079 Lauter, Kristin Improved upper bounds for the number of rational points on algebraic curves over finite fields. C. R. Acad. Sci. Paris Sér. I Math. 328 (1999), no. 12, 1181--1185. (Reviewer: Gabriel D. Villa-Salvador) 11G20 (14G10 14G15)

[22]

2000e:11078 Ihara, Yasutaka The Grothendieck-Teichmüller group and the adelic beta function. (Japanese) Algebraic number theory and related topics (Japanese) (Kyoto, 1996). S\=urikaisekikenky\=usho K\=oky\=uroku No. 998, (1997), 44--53. (Reviewer: Yoshinori Hamahata) 11G20 (11S80 14G10 14G32)

[23]

2000d:14023 Chambert-Lior, Antoine Cohomologie cristalline: un survol. (French) [Crystalline cohomology: a survey] Exposition. Math. 16 (1998), no. 4, 333--382. (Reviewer: Adolfo Quirós) 14F30 (14F40 14G10)

[24]

2000d:11138 Erez, B. Geometric trends in Galois module theory. Galois representations in arithmetic algebraic geometry (Durham, 1996), 115--145, London Math. Soc. Lecture Note Ser., 254, Cambridge Univ. Press, Cambridge, 1998. (Reviewer: Cornelius Greither) 11R33 (14C35 14F30 14G10 14G15)

[25]

2000d:11090 Batyrev, Victor V.; Tschinkel, Yuri Tamagawa numbers of polarized algebraic varieties. Nombre et répartition de points de hauteur bornée (Paris, 1996). Astérisque No. 251, (1998), 299--340. (Reviewer: Carlo Gasbarri) 11G50 (11G35 14G05 14G10)

[26]

2000d:11089 Otsubo, Noriyuki Fourth-order Fermat surfaces and Selmer groups. (Japanese) Algebraic number theory and related topics (Japanese) (Kyoto, 1997). S\=urikaisekikenky\=usho K\=oky\=uroku No. 1026, (1998), 224--231. (Reviewer: Takeshi Ooe) 11G40 (14F42)

[27]

2000d:11088 Jimenez-Urroz, Jorge Non-trivial zeroes for quadratic twists of Hasse-Weil $L$-functions. J. Number Theory 77 (1999), no. 2, 331--335. (Reviewer: Ken Ono) 11G40 (11G05)

[28]

2000d:11076 Hajir, Farshid; Rodriguez Villegas, Fernando On the Tate-Shafarevich group of certain elliptic curves. Math. Res. Lett. 5 (1998), no. 5, 637--655. (Reviewer: Kenneth Kramer) 11G15 (11F67 11G10 11G16 11G40)

[29]

2000c:11192 Guo, Li Hecke characters and formal group characters. Topics in number theory (University Park, PA, 1997), 181--192, Math. Appl., 467, Kluwer Acad. Publ., Dordrecht, 1999. (Reviewer: Alexey A. Panchishkin) 11S31 (11G40 11R42 19F27)

[30]

2000c:11106 Michel, Philippe Sur les zéros de fonctions $L$ sur les corps de fonctions. (French) [On zeros of $L$-functions over function fields] Math. Ann. 313 (1999), no. 2, 359--370. (Reviewer: Colin Stahlke) 11G40 (11G05)

[31]

2000b:11070 Katz, Nicholas M.; Sarnak, Peter Random matrices, Frobenius eigenvalues, and monodromy. American Mathematical Society Colloquium Publications, 45. American Mathematical Society, Providence, RI, 1999. xii+419 pp. ISBN: 0-8218-1017-0 (Reviewer: Philippe G. Michel) 11G25 (11M06 11Y35 14D05 14G10 60F99 82B44)

[32]

2000b:11066 Harder, G. Galoismoduln und Shimura-Varietäten. (German) [Galois modules and Shimura varieties] Jahresber. Deutsch. Math.-Verein. 101 (1999), no. 1, 26--46. (Reviewer: Annette Huber) 11G18 (11F67 11G09 11G40 14G35)

[33]

2000b:11057 Kudla, Stephen S.; Rapoport, Michael; Yang, Tonghai On the derivative of an Eisenstein series of weight one. Internat. Math. Res. Notices 1999, no. 7, 347--385. (Reviewer: Alexey A. Panchishkin) 11F66 (11F30 11F37 11F67 11G40 14G40)

[34]

2000b:11056 Duke, W. Automorphic $L$-functions in level aspect. Number theory (Ottawa, ON, 1996), 73--79, CRM Proc. Lecture Notes, 19, Amer. Math. Soc., Providence, RI, 1999. (Reviewer: Alexey A. Panchishkin) 11F66 (11G40 11N56)

[35]

2000a:16020 Urban, E. On residually reducible representations on local rings. J. Algebra 212 (1999), no. 2, 738--742. (Reviewer: Kwangil Koh) 16G10 (16P20)

[36]

2000a:11085 Merel, Loïc Points rationnels et séries de Dirichlet. (French) [Rational points and Dirichlet series] Proceedings of the International Congress of Mathematicians, Vol. II (Berlin, 1998). Doc. Math. 1998, Extra Vol. II, 183--186 (electronic). (Reviewer: Kenneth Kramer) 11G05 (11G18 11G40 14G10)

[37]

2000a:11077 Ono, Ken; Skinner, Christopher Non-vanishing of quadratic twists of modular $L$-functions. Invent. Math. 134 (1998), no. 3, 651--660. (Reviewer: A. Perelli) 11F67 (11G40)

[38]

2000a:11003 Kaczorowski, Jerzy Hilbert's Eighth Problem. (Polish) Hilbert's Problems (Polish) (Mi\polhk edzyzdroje, 1993), 85--118, Polsk. Akad. Nauk, Warsaw, 1997. (Reviewer: Andrzej M\polhk adrecki) 11-03 (01A60 11G40 11M26 11R42)

[39]

99m:14042 Zúñiga-Galindo, W. A. Zeta functions of singular curves over finite fields. Rev. Colombiana Mat. 31 (1997), no. 2, 115--124. (Reviewer: Barry W. Green) 14G10 (11G20 14G15)

[40]

99m:11124 Perrin-Riou, Bernadette Systèmes d'Euler $p$-adiques et théorie d'Iwasawa. (French) [$p$-adic Euler systems and Iwasawa theory] Ann. Inst. Fourier (Grenoble) 48 (1998), no. 5, 1231--1307. (Reviewer: Amnon Besser) 11R23 (11G40 11R42)

[41]

99m:11072 Hashimoto, Ki-ichiro; Tsunogai, Hiroshi On the Sato-Tate conjecture for QM-curves of genus two. Math. Comp. 68 (1999), no. 228, 1649--1662. (Reviewer: Ben Moonen) 11G40 (11G15 14G10 14K15)

[42]

99m:11071 Grant, Gregory R.; Manduchi, Elisabetta Root numbers and algebraic points on elliptic surfaces with elliptic base. Duke Math. J. 93 (1998), no. 3, 479--486. (Reviewer: Massimo Bertolini) 11G40 (11G35 14G05)

[43]

99m:11070 Akiyama, Shigeki; Tanigawa, Yoshio Calculation of values of $L$-functions associated to elliptic curves. Math. Comp. 68 (1999), no. 227, 1201--1231. (Reviewer: Joe P. Buhler) 11G40 (11G05 11Y35)

[44]

99m:11066 Silverman, Joseph H. The average rank of an algebraic family of elliptic curves. J. Reine Angew. Math. 504 (1998), 227--236. (Reviewer: John W. Jones) 11G05 (11G35)

[45]

99k:14036 Trihan, Fabien Fonction $L$ unité d'un groupe de Barsotti-Tate. (French) [Unit $L$-function of a Barsotti-Tate group] Manuscripta Math. 96 (1998), no. 4, 397--419. (Reviewer: Abdellah Mokrane) 14F30 (14G10)

[46]

99k:11098 Rück, Hans-Georg; Tipp, Ulrich A Gross-Zagier formula for function fields. Algorithmic algebra and number theory (Heidelberg, 1997), 121--137, Springer, Berlin, 1999. (Reviewer: Yoshinori Hamahata) 11G40 (11G09)

[47]

99k:11097 Bernadette, Perrin-Riou Zéros triviaux des fonctions $L$ $p$-adiques, un cas particulier. (French) [A particular case of the trivial zeros of $p$-adic $L$-functions] Compositio Math. 114 (1998), no. 1, 37--76. (Reviewer: Alexey A. Panchishkin) 11G40 (11F67 11F85 11R23 11R42 19F15)

[48]

99k:11082 Halberstadt, Emmanuel Signes locaux des courbes elliptiques en 2 et 3. (French) [Local root numbers of elliptic curves for $p=2$ or $3$] C. R. Acad. Sci. Paris Sér. I Math. 326 (1998), no. 9, 1047--1052. (Reviewer: Massimo Bertolini) 11G07 (11G40)

[49]

99k:11004 Modular forms and Fermat's last theorem. Papers from the Instructional Conference on Number Theory and Arithmetic Geometry held at Boston University, Boston, MA, August 9--18, 1995. Edited by Gary Cornell, Joseph H. Silverman and Glenn Stevens. Springer-Verlag, New York, 1997. xx+582 pp. ISBN: 0-387-94609-8 (Reviewer: M. Ram Murty) 11-06 (11D41 11F80 11Fxx 11G05)

[50]

99j:11065 de Weger, Benjamin M. M. $A+B=C$ and big {\cyr Sh}'s. Quart. J. Math. Oxford Ser. (2) 49 (1998), no. 193, 105--128. (Reviewer: Massimo Bertolini) 11G05 (11G40)

[51]

99i:14026 Moroz, B. Z. On the distribution of integer points in the real locus of an affine toric variety. Sieve methods, exponential sums, and their applications in number theory (Cardiff, 1995), 283--291, London Math. Soc. Lecture Note Ser., 237, Cambridge Univ. Press, Cambridge, 1997. (Reviewer: Noriko Yui) 14G05 (11G35 14G10 14M25)

[52]

99i:11052 Zhang, Shaowei A note on the Tate-Shafarevich group of some elliptic curves. Adv. in Math. (China) 26 (1997), no. 6, 551--555. (Reviewer: Massimo Bertolini) 11G40 (11G05 11G15 11R29)

[53]

99i:11051 Yoshitomi, Kentaro Height functions on Jacobian curves and the Birch-Swinnerton-Dyer conjecture. (Japanese) Research on automorphic forms and zeta functions (Japanese) (Kyoto, 1997). S\=urikaisekikenky\=usho K\=oky\=uroku No. 1002, (1997), 105--118. (Reviewer: Takeshi Ooe) 11G40

[54]

99i:11050 Vatsal, V. Rank-one twists of a certain elliptic curve. Math. Ann. 311 (1998), no. 4, 791--794. (Reviewer: Ken Ono) 11G40 (11F67 11G05)

[55]

99i:11049 Gekeler, Ernst-Ulrich; Leitl, Rita; Wack, Bodo Zeta functions of a class of elliptic curves over a rational function field of characteristic two. Math. Comp. 68 (1999), no. 226, 823--833. (Reviewer: John W. Jones) 11G40 (11G05 14G10)

[56]

99i:11048 Bertolini, Massimo Growth of Mordell-Weil groups in anticyclotomic towers. Arithmetic geometry (Cortona, 1994), 23--44, Sympos. Math., XXXVII, Cambridge Univ. Press, Cambridge, 1997. (Reviewer: Henri Darmon) 11G40 (11G05 11R23)

[57]

99i:11042 Rizzo, Ottavio G. Average root numbers in families of elliptic curves. Proc. Amer. Math. Soc. 127 (1999), no. 6, 1597--1603. (Reviewer: Susan Howson) 11G05 (11G40)

[58]

99g:11083 Delbourgo, Daniel Iwasawa theory for elliptic curves at unstable primes. Compositio Math. 113 (1998), no. 2, 123--153. (Reviewer: John W. Jones) 11G40 (11F67 11G05 11R23)

[59]

99f:11080 Bertolini, Massimo; Darmon, Henri Heegner points, $p$-adic $L$-functions, and the Cerednik-Drinfeld uniformization. Invent. Math. 131 (1998), no. 3, 453--491. (Reviewer: Bas Edixhoven) 11G40 (11G05 14G10 14G20)

[60]

99e:11088 Yoshitomi, Kentaro On height functions on Jacobian surfaces. Manuscripta Math. 96 (1998), no. 1, 37--66. (Reviewer: Annette Werner) 11G40 (11G10 14G10)

[61]

99e:11085 Feng, Keqin Non-congruent number, odd graph and the BSD conjecture on $y\sp 2=x\sp 3-n\sp 2x$. Singularities and complex geometry (Beijing, 1994), 54--66, AMS/IP Stud. Adv. Math., 5, Amer. Math. Soc., Providence, RI, 1997. 11G40 (11G05)

[62]

99e:11070 Nemenzo, Fidel Ronquillo All congruent numbers less than $40000$. Proc. Japan Acad. Ser. A Math. Sci. 74 (1998), no. 1, 29--31. (Reviewer: Joe P. Buhler) 11G05 (11D25 11Y40 11Y50)

[63]

99b:11043 Coleman, Robert F.; Edixhoven, Bas On the semi-simplicity of the $U\sb p$-operator on modular forms. Math. Ann. 310 (1998), no. 1, 119--127. (Reviewer: Alexey A. Panchishkin) 11F25 (11F11 11F33 11F85)

[64]

99a:11081 Ono, Ken A note on a question of J. Neková\v r and the Birch and Swinnerton-Dyer conjecture. Proc. Amer. Math. Soc. 126 (1998), no. 10, 2849--2853. (Reviewer: Eric Liverance) 11G40 (11F32 11G05)

[65]

99a:11005 Hokei keishiki to zeeta kans\=u no kenky\=u. (Japanese) [Research on automorphic forms and zeta functions] Proceedings of a symposium held at the Research Institute for Mathematical Sciences, Kyoto University, Kyoto, January 20--24, 1997. S\=urikaisekikenky\=usho K\=oky\=uroku No. 1002 (1997). Kyoto University, Research Institute for Mathematical Sciences, Kyoto, 1997. pp. i--ii and 1--212. 11-06

[66]

98m:11039 Murty, M. Ram Non-vanishing of $L$-functions. Advances in mathematical sciences: CRM's 25 years (Montreal, PQ, 1994), 319--328, CRM Proc. Lecture Notes, 11, Amer. Math. Soc., Providence, RI, 1997. (Reviewer: Kenneth Kramer) 11F66 (11F67 11G05 11G40)

[67]

98i:11020 Ono, Ken Ramanujan, taxicabs, birthdates, ZIP codes, and twists. Amer. Math. Monthly 104 (1997), no. 10, 912--917. (Reviewer: Andrew Bremner) 11E20 (11E25 11G05)

[68]

98g:11064 Ono, Ken Tate-Shafarevich groups of the congruent number elliptic curves. Acta Arith. 81 (1997), no. 3, 247--252. (Reviewer: M. Ram Murty) 11G05 (11F37 11F67 11G40)

[69]

98g:11061 Fermigier, Stéfane Étude expérimentale du rang de familles de courbes elliptiques sur {Q}. (French) [Experimental study of the rank of families of elliptic curves over Q] Experiment. Math. 5 (1996), no. 2, 119--130. (Reviewer: Joe P. Buhler) 11G05 (11G40 11Y99)

[70]

98d:11074 Zhang, Shaowei On the $3$-part of the Birch and Swinnerton-Dyer conjecture. Math. Proc. Cambridge Philos. Soc. 122 (1997), no. 1, 1--8. (Reviewer: Jan Neková\v r) 11G40 (11G05)

[71]

98c:11063 Elkies, Noam D. Mordell-Weil lattices in characteristic 2. II. The Leech lattice as a Mordell-Weil lattice. Invent. Math. 128 (1997), no. 1, 1--8. (Reviewer: Rainer Schulze-Pillot) 11H31 (11E12 11G05)

[72]

98c:11062 Gonzalez-Avilés, Cristian D. On the conjecture of Birch and Swinnerton-Dyer. Trans. Amer. Math. Soc. 349 (1997), no. 10, 4181--4200. (Reviewer: Eric Liverance) 11G40 (11G05)

[73]

98c:11051 Ono, Ken Euler's concordant forms. Acta Arith. 78 (1996), no. 2, 101--123. (Reviewer: M. Ram Murty) 11G05 (11D09 11F11 11F37)

[74]

98b:11069 Goldfeld, Dorian; Lieman, Daniel Effective bounds on the size of the Tate-Shafarevich group. Math. Res. Lett. 3 (1996), no. 3, 309--318. (Reviewer: M. Ram Murty) 11G40 (11G05)

[75]

98b:11068 Swinnerton-Dyer, Peter Diophantine equations: the geometric approach. Jahresber. Deutsch. Math.-Verein. 98 (1996), no. 3, 146--164. (Reviewer: Massimo Bertolini) 11G35 (11D41 11G30 11G40 14G05)

[76]

98a:20013 Nyssen, Louise Pseudo-représentations. (French) [Pseudorepresentations] Math. Ann. 306 (1996), no. 2, 257--283. (Reviewer: \c S. A. Basarab) 20C20 (13J15)

[77]

97m:11088 Zhao, Chunlai A criterion for elliptic curves with lowest $2$-power in $L(1)$. Math. Proc. Cambridge Philos. Soc. 121 (1997), no. 3, 385--400. (Reviewer: Genady Lazarevich Margolin) 11G40 (11G05)

[78]

97m:11077 Oesterlé, Joseph Travaux de Wiles (et Taylor, $\ldots$). II. (French) [Works of Wiles (and Taylor $\ldots$). II] Séminaire Bourbaki, Vol. 1994/95. Astérisque No. 237, (1996), Exp. No. 804, 5, 333--355. (Reviewer: Alexey A. Panchishkin) 11G05 (11D41 11F80 11F85 11G18)

[79]

97j:11031 Kohnen, Winfried Elliptic curves and automorphic forms. Number theory and related topics (Masan, 1994; Pusan, 1994), 19--28, Pyungsan Inst. Math. Sci., Seoul, 1995. (Reviewer: Massimo Bertolini) 11G40 (11F37 11F41)

[80]

97f:11002 Dais\=uteki seis\=uron to s\=uronteki kikagaku. (Japanese) [Algebraic number theory and arithmetic geometry] Proceedings of a symposium held at the Research Institute for Mathematical Sciences, Kyoto University, Kyoto, December 5--9, 1994. S\=urikaisekikenky\=usho K\=oky\=uroku No. 925 (1995). Kyoto University, Research Institute for Mathematical Sciences, Kyoto, 1995. pp. i--vi and 1--185. 11-06 (00B25)

[81]

97e:14035 Lorenzini, Dino An invitation to arithmetic geometry. Graduate Studies in Mathematics, 9. American Mathematical Society, Providence, RI, 1996. xvi+397 pp. ISBN: 0-8218-0267-4 (Reviewer: I. Dolgachev) 14G40 (11G20 14-01)

[82]

97e:11077 Feng, Keqin Non-congruent numbers, odd graphs and the Birch-Swinnerton-Dyer conjecture. Acta Arith. 75 (1996), no. 1, 71--83. (Reviewer: Fernando Rodríguez Villegas) 11G40 (11G05)

[83]

97d:11172 Diamond, Fred On deformation rings and Hecke rings. Ann. of Math. (2) 144 (1996), no. 1, 137--166. (Reviewer: Richard Taylor) 11R39 (11F80 11G05)

[84]

97b:11076 Ulmer, Douglas L. A construction of local points on elliptic curves over modular curves. Internat. Math. Res. Notices 1995, no. 7, 349--363. (Reviewer: Eric Liverance) 11G05 (11F11 11F25 11G40 14G10)

[85]

97a:11105 Zhang, Shaowei The nonvanishing of $L(1)$ for the $L$-series of some elliptic curves. Adv. in Math. (China) 24 (1995), no. 5, 439--443. (Reviewer: M. Ram Murty) 11G40 (11G05)

[86]

97a:11102 Goldfeld, Dorian; Szpiro, Lucien Bounds for the order of the Tate-Shafarevich group. Special issue in honour of Frans Oort. Compositio Math. 97 (1995), no. 1-2, 71--87. (Reviewer: Massimo Bertolini) 11G40 (11G05)

[87]

96k:11110 Zagier, Don Values of zeta functions and their applications. First European Congress of Mathematics, Vol. II (Paris, 1992), 497--512, Progr. Math., 120, Birkhäuser, Basel, 1994. (Reviewer: Fernando Rodríguez Villegas) 11M41 (11F67 11G40 19F27)

[88]

96j:11089 Tan, Ki-Seng Refined theorems of the Birch and Swinnerton-Dyer type. Ann. Inst. Fourier (Grenoble) 45 (1995), no. 2, 317--374. (Reviewer: Fernando Rodríguez Villegas) 11G40

[89]

96j:11077 Michel, Philippe Rang moyen de familles de courbes elliptiques et lois de Sato-Tate. (French) [Average rank of families of elliptic curves and Sato-Tate laws] Monatsh. Math. 120 (1995), no. 2, 127--136. (Reviewer: Eric Liverance) 11G05 (11G40)

[90]

96j:11073 Taylor, Richard On Galois representations associated to Hilbert modular forms. II. Elliptic curves, modular forms, & Fermat's last theorem (Hong Kong, 1993), 185--191, Ser. Number Theory, I, Internat. Press, Cambridge, MA, 1995. (Reviewer: Ian Kiming) 11F80 (11F33 11F41)

[91]

96i:11057 Merel, Loïc Bornes pour la torsion des courbes elliptiques sur les corps de nombres. (French) [Bounds for the torsion of elliptic curves over number fields] Invent. Math. 124 (1996), no. 1-3, 437--449. (Reviewer: Henri Darmon) 11G05 (11L05)

[92]

96i:11049 Hida, Haruzo On $\Lambda$-adic forms of half integral weight for ${\rm SL}(2)\sb {/{Q}}$. Number theory (Paris, 1992--1993), 139--166, London Math. Soc. Lecture Note Ser., 215, Cambridge Univ. Press, Cambridge, 1995. (Reviewer: Andrea Mori) 11F37 (11F70 11F85 22E55)

[93]

96g:11050 de Shalit, Ehud On the $p$-adic periods of $X\sb 0(p)$. Math. Ann. 303 (1995), no. 3, 457--472. (Reviewer: Alexey A. Panchishkin) 11F67 (11F85 11G18 11G40 19F15)

[94]

96g:11049 Rodríguez Villegas, Fernando; Zagier, Don Which primes are sums of two cubes? Number theory (Halifax, NS, 1994), 295--306, CMS Conf. Proc., 15, Amer. Math. Soc., Providence, RI, 1995. (Reviewer: Kazuyuki Hatada) 11F67 (11D85 11G40)

[95]

96d:11070 Jordan, Bruce W. Higher weight modular forms and Galois representations. $p$-adic monodromy and the Birch and Swinnerton-Dyer conjecture (Boston, MA, 1991), 175--181, Contemp. Math., 165, Amer. Math. Soc., Providence, RI, 1994. 11G18 (11F80 14F30)

[96]

96c:11072 Jones, John W. Iwasawa $L$-functions of elliptic curves with additive reduction. J. Number Theory 51 (1995), no. 1, 103--117. (Reviewer: Massimo Bertolini) 11G40 (11G05 11R23 11R34)

[97]

96c:11070 Feng, Ke Qin On the rank and the BSD conjecture of elliptic curves $E\sb D\colon y\sp 2=x\sp 3-D\sp 3$. Algebraic geometry and algebraic number theory (Tianjin, 1989--1990), 24--34, Nankai Ser. Pure Appl. Math. Theoret. Phys., 3, World Sci. Publishing, River Edge, NJ, 1992. 11G40 (11G05)

[98]

96b:11082 Brown, M. L. On a conjecture of Tate for elliptic surfaces over finite fields. Proc. London Math. Soc. (3) 69 (1994), no. 3, 489--514. (Reviewer: Jean-Yves Étesse) 11G25 (11G40 14F30 14G15)

[99]

96b:11074 Silverman, Joseph H. Advanced topics in the arithmetic of elliptic curves. Graduate Texts in Mathematics, 151. Springer-Verlag, New York, 1994. xiv+525 pp. ISBN: 0-387-94328-5 (Reviewer: Henri Darmon) 11G05 (11G07 11G15 11G40 14H52)

[100]

96b:11065 Dabrowski, Andrzej $p$-adic $L$-functions of Hilbert modular forms. Ann. Inst. Fourier (Grenoble) 44 (1994), no. 4, 1025--1041. (Reviewer: Alexey A. Panchishkin) 11F33 (11F41 11F67 11F85 11G20 19F15)

[101]

96a:11050 Coleman, Robert F. A $p$-adic Shimura isomorphism and $p$-adic periods of modular forms. $p$-adic monodromy and the Birch and Swinnerton-Dyer conjecture (Boston, MA, 1991), 21--51, Contemp. Math., 165, Amer. Math. Soc., Providence, RI, 1994. (Reviewer: Andrea Mori) 11F85 (11F67 11G18)

[102]

95m:11054 Silverman, Joseph H. The arithmetic of elliptic curves. Corrected reprint of the 1986 original. Graduate Texts in Mathematics, 106. Springer-Verlag, New York, 199?. xii+400 pp. ISBN: 0-387-96203-4 11G05 (14H52)

[103]

95k:11032 Bremner, Andrew; Jones, John W. On the equation $x\sp 4+mx\sp 2y\sp 2+y\sp 4=z\sp 2$. J. Number Theory 50 (1995), no. 2, 286--298. (Reviewer: Eric Liverance) 11D25 (11G05 11G40)

[104]

95j:11060 Scholl, A. J. Extensions of motives, higher Chow groups and special values of $L$-functions. Séminaire de Théorie des Nombres, Paris, 1991--92, 279--292, Progr. Math., 116, Birkhäuser Boston, Boston, MA, 1993. (Reviewer: Ze-Li Dou) 11G40 (11G09 14G10 19F27)

[105]

95j:11058 Klingenberg, Christoph On $p$-adic $L$-functions of Mumford curves. $p$-adic monodromy and the Birch and Swinnerton-Dyer conjecture (Boston, MA, 1991), 277--315, Contemp. Math., 165, Amer. Math. Soc., Providence, RI, 1994. (Reviewer: Fernando Rodríguez Villegas) 11G40 (11F85)

[106]

95j:11057 Greenberg, Ralph; Stevens, Glenn On the conjecture of Mazur, Tate, and Teitelbaum. $p$-adic monodromy and the Birch and Swinnerton-Dyer conjecture (Boston, MA, 1991), 183--211, Contemp. Math., 165, Amer. Math. Soc., Providence, RI, 1994. (Reviewer: Fernando Rodríguez Villegas) 11G40 (11F85)

[107]

95j:11047 Cremona, J. E. Computing the degree of the modular parametrization of a modular elliptic curve. Math. Comp. 64 (1995), no. 211, 1235--1250. (Reviewer: Henri Darmon) 11G05 (11F30 11F66 11G40)

[108]

95i:11065 Rubin, Karl $p$-adic variants of the Birch and Swinnerton-Dyer conjecture for elliptic curves with complex multiplication. $p$-adic monodromy and the Birch and Swinnerton-Dyer conjecture (Boston, MA, 1991), 71--80, Contemp. Math., 165, Amer. Math. Soc., Providence, RI, 1994. (Reviewer: Alexis Michel) 11G40 (11G05 11G15 11G16)

[109]

95i:11064 Darmon, Henri Heegner points, Heegner cycles, and congruences. Elliptic curves and related topics, 45--59, CRM Proc. Lecture Notes, 4, Amer. Math. Soc., Providence, RI, 1994. (Reviewer: Glenn Stevens) 11G40 (11F67 11G05)

[110]

95i:11059 Carayol, Henri Formes modulaires et représentations galoisiennes à valeurs dans un anneau local complet. (French) [Modular forms and Galois representations with values in a complete local ring] $p$-adic monodromy and the Birch and Swinnerton-Dyer conjecture (Boston, MA, 1991), 213--237, Contemp. Math., 165, Amer. Math. Soc., Providence, RI, 1994. (Reviewer: Douglas L. Ulmer) 11G18 (11F75 11F80)

[111]

95i:11046 Cremona, John E. Periods of cusp forms and elliptic curves over imaginary quadratic fields. Elliptic curves and related topics, 29--44, CRM Proc. Lecture Notes, 4, Amer. Math. Soc., Providence, RI, 1994. (Reviewer: Glenn Stevens) 11F67 (11G05 11G40)

[112]

95i:11020 Gebel, J.; Pethö, A.; Zimmer, H. G. Computing integral points on elliptic curves. Acta Arith. 68 (1994), no. 2, 171--192. (Reviewer: B. M. M. de Weger) 11D25 (11G05 11Y50)

[113]

95h:11063 Greenberg, Ralph Trivial zeros of $p$-adic $L$-functions. $p$-adic monodromy and the Birch and Swinnerton-Dyer conjecture (Boston, MA, 1991), 149--174, Contemp. Math., 165, Amer. Math. Soc., Providence, RI, 1994. (Reviewer: K. Shiratani) 11G40 (11F67 11S40)

[114]

95h:11062 Darmon, Henri Euler systems and refined conjectures of Birch Swinnerton-Dyer type. $p$-adic monodromy and the Birch and Swinnerton-Dyer conjecture (Boston, MA, 1991), 265--276, Contemp. Math., 165, Amer. Math. Soc., Providence, RI, 1994. (Reviewer: John W. Jones) 11G40 (11G05)

[115]

95g:14050 Tan, Ki-Seng $p$-adic pairings. $p$-adic monodromy and the Birch and Swinnerton-Dyer conjecture (Boston, MA, 1991), 111--121, Contemp. Math., 165, Amer. Math. Soc., Providence, RI, 1994. (Reviewer: Enric Nart) 14K15 (11G10)

[116]

95g:11062 Jones, John W. Iwasawa $L$-functions and the mysterious ${\scr L}$-invariant. $p$-adic monodromy and the Birch and Swinnerton-Dyer conjecture (Boston, MA, 1991), 63--70, Contemp. Math., 165, Amer. Math. Soc., Providence, RI, 1994. (Reviewer: Amílcar Pacheco) 11G40 (11R23)

[117]

95g:11037 Jochnowitz, Naomi A $p$-adic conjecture about derivatives of $L$-series attached to modular forms. $p$-adic monodromy and the Birch and Swinnerton-Dyer conjecture (Boston, MA, 1991), 239--263, Contemp. Math., 165, Amer. Math. Soc., Providence, RI, 1994. (Reviewer: Andrea Mori) 11F33 (11F67 11F85 11G40)

[118]

95f:11046 Elkies, Noam D. Mordell-Weil lattices in characteristic $2$. I. Construction and first properties. Internat. Math. Res. Notices 1994, no. 8, 343 ff., approx. 18 pp. (electronic). (Reviewer: Neil Dummigan) 11H31 (11G05)

[119]

95f:11045 Hulsbergen, Wilfred W. J. Conjectures in arithmetic algebraic geometry. A survey. Second edition. Aspects of Mathematics, E18. Friedr. Vieweg & Sohn, Braunschweig, 1994. vi+245 pp. ISBN: 3-528-16433-6 (Reviewer: Alexey A. Panchishkin) 11G40 (11G09 14C35 14F20 14G25 19F27)

[120]

95f:11042 de Shalit, Ehud Kronecker's polynomial, supersingular elliptic curves, and $p$-adic periods of modular curves. $p$-adic monodromy and the Birch and Swinnerton-Dyer conjecture (Boston, MA, 1991), 135--148, Contemp. Math., 165, Amer. Math. Soc., Providence, RI, 1994. (Reviewer: V. Kumar Murty) 11G18 (11F85 14G20)

[121]

95f:11031 Kitagawa, Koji On standard $p$-adic $L$-functions of families of elliptic cusp forms. $p$-adic monodromy and the Birch and Swinnerton-Dyer conjecture (Boston, MA, 1991), 81--110, Contemp. Math., 165, Amer. Math. Soc., Providence, RI, 1994. (Reviewer: Alexey A. Panchishkin) 11F33 (11F67 11F85 11G20 19F15)

[122]

95e:11069 Mazur, B. On monodromy invariants occurring in global arithmetic, and Fontaine's theory. $p$-adic monodromy and the Birch and Swinnerton-Dyer conjecture (Boston, MA, 1991), 1--20, Contemp. Math., 165, Amer. Math. Soc., Providence, RI, 1994. (Reviewer: Michel Gros) 11G40 (11F67)

[123]

95d:11158 Tan, Ki-Seng Modular elements over function fields. J. Number Theory 45 (1993), no. 3, 295--311. (Reviewer: Glenn Stevens) 11R58 (11G05 11G40 14G25)

[124]

95d:11079 Coleman, Robert; Teitelbaum, Jeremy Numerical solution of the $p$-adic hypergeometric equation. $p$-adic monodromy and the Birch and Swinnerton-Dyer conjecture (Boston, MA, 1991), 53--62, Contemp. Math., 165, Amer. Math. Soc., Providence, RI, 1994. (Reviewer: Henri Darmon) 11G40 (11F67)

[125]

95c:11081 Mai, Liem; Murty, M. Ram A note on quadratic twists of an elliptic curve. Elliptic curves and related topics, 121--124, CRM Proc. Lecture Notes, 4, Amer. Math. Soc., Providence, RI, 1994. (Reviewer: Massimo Bertolini) 11G40 (11F67 11G05)

[126]

95c:11080 Kani, Ernst; Rosen, Michael Idempotent relations among arithmetic invariants attached to number fields and algebraic varieties. J. Number Theory 46 (1994), no. 2, 230--254. (Reviewer: Amílcar Pacheco) 11G40 (11R23 14G10 14J20)

[127]

95c:11071 Silverman, Joseph H. Variation of the canonical height in algebraic families. $p$-adic monodromy and the Birch and Swinnerton-Dyer conjecture (Boston, MA, 1991), 123--133, Contemp. Math., 165, Amer. Math. Soc., Providence, RI, 1994. (Reviewer: Eric Liverance) 11G05 (11G35 14G25)

[128]

95c:11070 Gebel, Josef; Zimmer, Horst G. Computing the Mordell-Weil group of an elliptic curve over $\bold Q$. Elliptic curves and related topics, 61--83, CRM Proc. Lecture Notes, 4, Amer. Math. Soc., Providence, RI, 1994. (Reviewer: Fernando Rodríguez Villegas) 11G05 (14H52)

[129]

95c:11066 Shahidi, Freydoon Symmetric power $L$-functions for ${\rm GL}(2)$. Elliptic curves and related topics, 159--182, CRM Proc. Lecture Notes, 4, Amer. Math. Soc., Providence, RI, 1994. (Reviewer: Stephen Gelbart) 11F70 (11G40)

[130]

95a:11059 Greenberg, Ralph Elliptic curves and $p$-adic deformations. Elliptic curves and related topics, 101--110, CRM Proc. Lecture Notes, 4, Amer. Math. Soc., Providence, RI, 1994. (Reviewer: Fernando Q. Gouvêa) 11G40 (11F67 11F85 11G05 11G15)

[131]

94m:11006 $p$-adic monodromy and the Birch and Swinnerton-Dyer conjecture. Papers from the workshop held at Boston University, Boston, Massachusetts, August 12--16, 1991. Edited by Barry Mazur and Glenn Stevens. Contemporary Mathematics, 165. American Mathematical Society, Providence, RI, 1994. xiv+315 pp. ISBN: 0-8218-5180-2 11-06 (11G40)

[132]

94k:11071 Bernardi, Dominique; Perrin-Riou, Bernadette Variante $p$-adique de la conjecture de Birch et Swinnerton-Dyer (le cas supersingulier). (French) [A $p$-adic version of the Birch and Swinnerton-Dyer conjecture (the supersingular case)] C. R. Acad. Sci. Paris Sér. I Math. 317 (1993), no. 3, 227--232. (Reviewer: Nigel Boston) 11G40 (11F67 11G05)

[133]

94i:11041 Cremona, J. E. The analytic order of {\cyr Sh} for modular elliptic curves. J. Théor. Nombres Bordeaux 5 (1993), no. 1, 179--184. (Reviewer: Henri Darmon) 11G40 (11F30 11F66 11G05)

[134]

94h:11059 Park, Hwasin On the conjecture of Birch and Swinnerton-Dyer. Honam Math. J. 15 (1993), no. 1, 65--74. (Reviewer: Massimo Bertolini) 11G40 (11G05)

[135]

94f:11056 Kato, Kazuya Iwasawa theory and $p$-adic Hodge theory. Kodai Math. J. 16 (1993), no. 1, 1--31. (Reviewer: Burt Totaro) 11G40 (11G09 11R23 14F30)

[136]

94e:11064 Noda, Kazunari; Wada, Hideo All congruent numbers less than 10\,000. Proc. Japan Acad. Ser. A Math. Sci. 69 (1993), no. 6, 175--178. (Reviewer: Joe P. Buhler) 11G05 (11G40 11Y50 14G10)

[137]

94e:11063 Cohen, Henri Elliptic curves. From number theory to physics (Les Houches, 1989), 212--237, Springer, Berlin, 1992. (Reviewer: Andrew Bremner) 11G05 (11G40 14H52)

[138]

94d:11046 Shioda, Tetsuji Some remarks on elliptic curves over function fields. Journées Arithmétiques, 1991 (Geneva). Astérisque No. 209, (1992), 12, 99--114. (Reviewer: John W. Jones) 11G40 (14G10 14H52)

[139]

94d:11014 Top, Jaap Fermat's "primitive solutions" and some arithmetic of elliptic curves. Indag. Math. (N.S.) 4 (1993), no. 2, 211--222. (Reviewer: Franck Leprévost) 11D25 (11G05 11G40)

[140]

94c:11046 Cremona, J. E.; Whitley, E. Periods of cusp forms and elliptic curves over imaginary quadratic fields. Math. Comp. 62 (1994), no. 205, 407--429. (Reviewer: Henri Darmon) 11F67 (11F66 11G05 11G40)

[141]

94a:11095 Murty, M. Ram; Murty, V. Kumar Base change and the Birch-Swinnerton-Dyer conjecture. A tribute to Emil Grosswald: number theory and related analysis, 481--494, Contemp. Math., 143, Amer. Math. Soc., Providence, RI, 1993. (Reviewer: John W. Jones) 11G40 (11G05)

[142]

94a:11078 Koblitz, Neal Introduction to elliptic curves and modular forms. Second edition. Graduate Texts in Mathematics, 97. Springer-Verlag, New York, 1993. x+248 pp. ISBN: 0-387-97966-2 11G05 (11F11 11F37 11G40 14H52)

[143]

93m:11053 Cremona, J. E. Algorithms for modular elliptic curves. Cambridge University Press, Cambridge, 1992. vi+343 pp. ISBN: 0-521-41813-5 (Reviewer: Philippe Satgé) 11G40 (11G05 11Y16 11Y35)

[144]

93m:11045 Gouvêa, Fernando Q. The square-free sieve over number fields. J. Number Theory 43 (1993), no. 1, 109--122. (Reviewer: John W. Jones) 11G05 (11N36)

[145]

93k:14046 Shioda, Tetsuji Theory of Mordell-Weil lattices. Proceedings of the International Congress of Mathematicians, Vol. I, II (Kyoto, 1990), 473--489, Math. Soc. Japan, Tokyo, 1991. 14J27 (14G25)

[146]

93k:11021 Bremner, Andrew; Guy, Richard K.; Nowakowski, Richard J. Which integers are representable as the product of the sum of three integers with the sum of their reciprocals? Math. Comp. 61 (1993), no. 203, 117--130. (Reviewer: Philippe Satgé) 11D25 (11G05 11G40)

[147]

93j:11002 A tribute to Emil Grosswald: number theory and related analysis. Edited by Marvin Knopp and Mark Sheingorn. Contemporary Mathematics, 143. American Mathematical Society, Providence, RI, 1993. viii+612 pp. ISBN: 0-8218-5155-1 11-06

[148]

93h:11068 Schappacher, Norbert Les conjectures de Be\u\i linson pour les courbes elliptiques. (French) [Beilinson's conjectures for elliptic curves] Journées Arithmétiques, 1989 (Luminy, 1989). Astérisque No. 198-200, (1991), 305--317 (1992). (Reviewer: Alexey A. Panchishkin) 11G40 (11F66 11G05 19F27)

[149]

93g:11109 Perrin-Riou, Bernadette Théorie d'Iwasawa et hauteurs $p$-adiques. (French) [Iwasawa theory and $p$-adic heights] Invent. Math. 109 (1992), no. 1, 137--185. (Reviewer: Douglas L. Ulmer) 11R23 (11G40 11R42 11S25)

[150]

93g:11068 Serf, P. Congruent numbers and elliptic curves. Computational number theory (Debrecen, 1989), 227--238, de Gruyter, Berlin, 1991. 11G40 (11G05 11Y40)

[151]

93g:11067 Gross, Benedict H. Elliptic curves and modular forms. American Mathematical Society centennial publications, Vol. II (Providence, RI, 1988), 85--88, Amer. Math. Soc., Providence, RI, 1992. (Reviewer: Philippe Satgé) 11G40 (11F11 11G05)

[152]

93g:11057 Brumer, Armand The average rank of elliptic curves. I. Invent. Math. 109 (1992), no. 3, 445--472. (Reviewer: John W. Jones) 11G05 (11G40)

[153]

93d:11001 Zagier, Don Lösungen von Gleichungen in ganzen Zahlen. (German) [Solutions of equations in integers] Miscellanea mathematica, 311--326, Springer, Berlin, 1991. (Reviewer: Jörg Brüdern) 11-03 (01A05 11Dxx)

[154]

93c:11039 Gross, Benedict H. Kolyvagin's work on modular elliptic curves. $L$-functions and arithmetic (Durham, 1989), 235--256, London Math. Soc. Lecture Note Ser., 153, Cambridge Univ. Press, Cambridge, 1991. 11G10 (11G40)

[155]

93b:19004 Bloch, Spencer Algebraic $K$-theory, motives, and algebraic cycles. Proceedings of the International Congress of Mathematicians, Vol. I, II (Kyoto, 1990), 43--54, Math. Soc. Japan, Tokyo, 1991. (Reviewers: L. N. Vaserstein and Frank A. Arlinghaus) 19E15 (11G09 14C25)

[156]

92k:11067 Ram Murty, M. Elliptic curves and modular forms. Canad. Math. Bull. 34 (1991), no. 3, 375--384. (Reviewer: Alexey A. Panchishkin) 11G40 (11F67 11G05)

[157]

92i:11067 Rosen, Michael I. Some confirming instances of the Birch-Swinnerton-Dyer conjecture over biquadratic fields. Number theory (Banff, AB, 1988), 493--499, de Gruyter, Berlin, 1990. (Reviewer: Philippe Satgé) 11G40 (11G05)

[158]

92h:11057 Scholl, Anthony J. Remarks on special values of $L$-functions. $L$-functions and arithmetic (Durham, 1989), 373--392, London Math. Soc. Lecture Note Ser., 153, Cambridge Univ. Press, Cambridge, 1991. (Reviewer: Alexey A. Panchishkin) 11G40 (11G09 14G10 19F27)

[159]

92g:11109 Kolyvagin, V. A. Euler systems. The Grothendieck Festschrift, Vol. II, 435--483, Progr. Math., 87, Birkhäuser Boston, Boston, MA, 1990. (Reviewer: Karl Rubin) 11R34 (11G05 11G40 11R29)

[160]

92f:11085 Perrin-Riou, Bernadette Travaux de Kolyvagin et Rubin. (French) [Work of Kolyvagin and Rubin] Séminaire Bourbaki, Vol. 1989/90. Astérisque No. 189-190, (1990), Exp. No. 717, 69--106. (Reviewer: Massimo Bertolini) 11G40 (11G05 11G16 11R18 11R23 11R29)

[161]

92d:11051 Rohrlich, David E. The vanishing of certain Rankin-Selberg convolutions. Automorphic forms and analytic number theory (Montreal, PQ, 1989), 123--133, Univ. Montréal, Montreal, PQ, 1990. (Reviewer: Antonia Wilson Bluher) 11F66 (11F67 11F72)

[162]

92c:11116 Greenberg, Ralph Iwasawa theory for $p$-adic representations. Algebraic number theory, 97--137, Adv. Stud. Pure Math., 17, Academic Press, Boston, MA, 1989. (Reviewer: Karl Rubin) 11R23 (11G40 11R34)

[163]

92c:11063 Zagier, Don The Birch-Swinnerton-Dyer conjecture from a naive point of view. Arithmetic algebraic geometry (Texel, 1989), 377--389, Progr. Math., 89, Birkhäuser Boston, Boston, MA, 1991. (Reviewer: Karl Rubin) 11G40 (11G05)

[164]

92a:11001 Number theory. Proceedings of the First Conference of the Canadian Number Theory Association held in Banff, Alberta, April 17--27, 1988. Edited by Richard A. Mollin. Walter de Gruyter & Co., Berlin, 1990. xiv+659 pp. ISBN: 3-11-011723-1 11-06

[165]

91k:11051 Neková\v r, Jan Class numbers of quadratic fields and Shimura's correspondence. Math. Ann. 287 (1990), no. 4, 577--594. (Reviewer: Karl Rubin) 11G40 (11F30 11F32 11G05 11R29)

[166]

91k:11050 Goldstein, Catherine Quoi de neuf sur la conjecture de Birch et Swinnerton-Dyer? (French) [What is new about the Birch-Swinnerton-Dyer conjecture?] Théorie des nombres, Année 1988/89, Fasc. 1, 17 pp., Publ. Math. Fac. Sci. Besançon, Univ. Franche-Comté, Besançon, 1989. (Reviewer: Karl Rubin) 11G40 (11G05 11R23)

[167]

91j:11048 Bertolini, Massimo; Darmon, Henri Kolyvagin's descent and Mordell-Weil groups over ring class fields. J. Reine Angew. Math. 412 (1990), 63--74. (Reviewer: Bas Edixhoven) 11G40 (11G15 11R34)

[168]

91i:11070 Rubin, Karl The work of Kolyvagin on the arithmetic of elliptic curves. Arithmetic of complex manifolds (Erlangen, 1988), 128--136, Lecture Notes in Math., 1399, Springer, Berlin, 1989. (Reviewer: René Schoof) 11G40 (11G05)

[169]

91h:11002 Arithmetic algebraic geometry. Papers from the conference held in Texel, April 1989. Edited by G. van der Geer, F. Oort and J. Steenbrink. Progress in Mathematics, 89. Birkhäuser Boston, Inc., Boston, MA, 1991. x+444 pp. ISBN: 0-8176-3513-0 11-06 (11Gxx 14Gxx)

[170]

91g:11070 Fleckinger, Vincent Étude de la courbe elliptique $y\sp 2=4x\sp 3-27((3+\sqrt{-19})/2)\sp 2$ et monogénéité de certains anneaux d'entiers. (French) [Study of the elliptic curve $y\sp 2=4x\sp 3-27((3+\sqrt{-19})/2)\sp 2$ and monogeneity of some rings of integers] Sém. Théor. Nombres Bordeaux (2) 1 (1989), no. 1, 103--116. (Reviewer: Ehud de Shalit) 11G40 (11G05 11R33)

[171]

91b:11116 Perrin-Riou, Bernadette Théorie d'Iwasawa $p$-adique locale et globale. (French) [Local and global $p$-adic Iwasawa theory] Invent. Math. 99 (1990), no. 2, 247--292. (Reviewer: Michel Gros) 11R23 (11G05 11G40 11R42)

[172]

91b:11069 Antoniadis, J. A.; Bungert, M.; Frey, G. Properties of twists of elliptic curves. J. Reine Angew. Math. 405 (1990), 1--28. (Reviewer: Joseph H. Silverman) 11G05 (11F11 11F37 11G40)

[173]

91a:11005 Théorie des nombres. Année 1988/89. Fasc. 1. (French) [Number theory. 1988/89. Part 1] Publications Mathématiques de la Faculté des Sciences de Besançon. [Mathematical Publications of the Faculty of Sciences at Besançon] Université de Franche-Comté, Faculté des Sciences, Besançon, 1989. 189 pp. 11-06

[174]

90m:11094 Jones, John W. Iwasawa $L$-functions for multiplicative abelian varieties. Duke Math. J. 59 (1989), no. 2, 399--420. (Reviewer: Reinhard Bölling) 11G40 (11G07 14G10 14K15)

[175]

90m:11092 Ulmer, D. L. On universal elliptic curves over Igusa curves. Invent. Math. 99 (1990), no. 2, 377--391. (Reviewer: Philippe Satgé) 11G18 (11F25 11G40 14G10 14K07)

[176]

90f:11035 Kolyvagin, V. A. The Mordell-Weil and Shafarevich-Tate groups for Weil elliptic curves. (Russian) Izv. Akad. Nauk SSSR Ser. Mat. 52 (1988), no. 6,1154--1180, 1327; translation in Math. USSR-Izv. 33 (1989), no. 3, 473--499 (Reviewer: Reinhard Bölling) 11G05 (11D41 11G40 14G25 14K07)

[177]

90e:11094 Ramakrishnan, Dinakar Regulators, algebraic cycles, and values of $L$-functions. Algebraic $K$-theory and algebraic number theory (Honolulu, HI, 1987), 183--310, Contemp. Math., 83, Amer. Math. Soc., Providence, RI, 1989. (Reviewer: Sheldon Kamienny) 11G40 (11F67 11F70 11G30 11G35 11R42 14C99 14G10 19F27)

[178]

89k:11029 Skoruppa, Nils-Peter; Zagier, Don Jacobi forms and a certain space of modular forms. Invent. Math. 94 (1988), no. 1, 113--146. (Reviewer: Günter Köhler) 11F11 (11F25 11F72)

[179]

89j:11108 Oesterlé, J. Le problème de Gauss sur le nombre de classes. (French) [Gauss's problem on the class number] Enseign. Math. (2) 34 (1988), no. 1-2, 43--67. (Reviewer: A. Perelli) 11R29 (01A55 01A60 11-03)

[180]

89g:11046 de Shalit, Ehud Iwasawa theory of elliptic curves with complex multiplication. $p$-adic $L$ functions. Perspectives in Mathematics, 3. Academic Press, Inc., Boston, MA, 1987. x+154 pp. . ISBN: 0-12-210255-X (Reviewer: Karl Rubin) 11G05 (11G15 11G16 11R23 14K22)

[181]

89g:11022 Adachi, Norio History of congruent numbers. (Japanese) S\\sp ugaku 39 (1987), no. 2, 173--179. 11D41 (01A60 11-03)

[182]

89d:11094 Perrin-Riou, Bernadette Fonctions $L$ $p$-adiques, théorie d'Iwasawa et points de Heegner. (French) [$p$-adic $L$-functions, Iwasawa theory and Heegner points] Bull. Soc. Math. France 115 (1987), no. 4, 399--456. (Reviewer: Kenneth Kramer) 11R23 (11G40)

[183]

89b:14043 Teitelbaum, Jeremy $p$-adic periods of genus two Mumford-Schottky curves. J. Reine Angew. Math. 385 (1988), 117--151. (Reviewer: Frank Herrlich) 14H25 (11G20 14G10 14G20)

[184]

89b:11053 Gerzho\u\i, P. I.; Panchishkin, A. A. A finiteness criterion for the number of rational points for twisted Weil elliptic curves. (Russian) Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) 160 (1987), Anal. Teor. Chisel i Teor. Funkts. 8, 41--53, 297. (Reviewer: Reinhard Bölling) 11G40 (11F11 14G10 14K07)

[185]

89a:11065 Rubin, Karl Tate\mhy Shafarevich groups and $L$-functions of elliptic curves with complex multiplication. Invent. Math. 89 (1987), no. 3, 527--559. (Reviewer: Joseph H. Silverman) 11G40 (11G05 11G15 11R37 14G10 14K22)

[186]

89a:11038 Berkovich, V. G. Duality theorems in Galois cohomology of commutative algebraic groups. Selected translations. Selecta Math. Soviet. 6 (1987), no. 3, 201--296. (Reviewer: T. Ono) 11E72 (11G35 11G40 20G10)

[187]

88m:11047 Turner, S. Gauss sums and algebraic cycles. Compositio Math. 63 (1987), no. 2, 145--158. (Reviewer: Joseph H. Silverman) 11G40 (11L05 14G10 14G25)

[188]

88k:11039 Mazur, B.; Tate, J. Refined conjectures of the "Birch and Swinnerton-Dyer type". Duke Math. J. 54 (1987), no. 2, 711--750. (Reviewer: Karl Rubin) 11G40 (11G05 14G25 14K15)

[189]

88j:11033 Zagier, D. Modular points, modular curves, modular surfaces and modular forms. Workshop Bonn 1984 (Bonn, 1984), 225--248, Lecture Notes in Math., 1111, Springer, Berlin-New York, 1985. (Reviewer: Fumiyuki Momose) 11G40 (11D25 11F41 11G05 14G10)

[190]

88j:11032 Goldstein, C. Pot-pourri elliptique (complexe et) $p$-adique illustré. (French) [Illustrated (complex and) $p$-adic elliptic potpourri] Séminaire de théorie des nombres, Paris 1983--84, 105--113, Progr. Math., 59, Birkhäuser Boston, Boston, Mass., 1985. (Reviewer: Karl Rubin) 11G40 (11G05 11G15 14G10)

[191]

88i:11038 Perrin-Riou, Bernadette Fonctions $L$ $p$-adiques et points de Heegner. (French) [$p$-adic $L$-functions and Heegner points] Journées arithmétiques de Besançon (Besançon, 1985). Astérisque No. 147-148, (1987), 151--171, 344. (Reviewer: Karl Rubin) 11G40 (11F67 11G05 11R23 14G10)

[192]

87j:11057 Gross, Benedict H.; Zagier, Don B. Heegner points and derivatives of $L$-series. Invent. Math. 84 (1986), no. 2, 225--320. (Reviewer: Loren D. Olson) 11G40 (11F11 11G05 14G10)

[193]

87h:11058 Perrin-Riou, Bernadette Arithmétique des courbes elliptiques et théorie d'Iwasawa. (French) [Arithmetic of elliptic curves and Iwasawa theory] Mém. Soc. Math. France (N.S.) No. 17, (1984), 130 pp. (Reviewer: Karl Rubin) 11G40 (11G05 11R23)

[194]

87g:11070 Silverman, Joseph H. The arithmetic of elliptic curves. Graduate Texts in Mathematics, 106. Springer-Verlag, New York-Berlin, 1986. xii+400 pp. ISBN: 0-387-96203-4 (Reviewer: Robert S. Rumely) 11G05 (14Gxx 14K07 14K15)

[195]

87e:11076 Mazur, B.; Tate, J.; Teitelbaum, J. On $p$-adic analogues of the conjectures of Birch and Swinnerton-Dyer. Invent. Math. 84 (1986), no. 1, 1--48. (Reviewer: Kenneth A. Ribet) 11G40 (11G05 14G10)

[196]

87b:11056 Chudnovsky, Gregory V. Transcendences arising from exponential and elliptic functions. Contributions to the theory of transcendental numbers, 297--354, Math. Surveys Monographs, 19, Amer. Math. Soc., Providence, R.I., 1984. (Reviewer: D. W. Masser) 11J72 (11J89)

[197]

87b:11049 Bernardi, Dominique; Goldstein, Catherine Variante $p$-adique de la conjecture de Birch et Swinnerton-Dyer. (French) [A $p$-adic analogue of the Birch and Swinnerton-Dyer conjecture] C. R. Acad. Sci. Paris Sér. I Math. 301 (1985), no. 10, 455--458. 11G40 (14G10)

[198]

86h:14015 Bloch, Spencer Height pairings for algebraic cycles. Proceedings of the Luminy conference on algebraic $K$-theory (Luminy, 1983). J. Pure Appl. Algebra 34 (1984), no. 2-3, 119--145. (Reviewer: K. R. Coombes) 14G10 (11G40 14C35)

[199]

86h:11103 Be\u\i linson, A. A. Higher regulators and values of $L$-functions. (Russian) Current problems in mathematics, Vol. 24, 181--238, Itogi Nauki i Tekhniki, Akad. Nauk SSSR, Vsesoyuz. Inst. Nauchn. i Tekhn. Inform., Moscow, 1984. (Reviewer: Daniel R. Grayson) 11R42 (11G40 11G45 11R70 14C35 18F25 19F27)

[200]

86h:11102 Harder, Günter Experimente in der Mathematik. (German) [Experiments in mathematics] With discussion. Rheinisch-Westfälische Akad. Wiss. Natur-, Ingr.- Wirtschaftswiss. No. 321, (1983), 45--63. (Reviewer: Horst G. Zimmer) 11R37 (11G40 14G25 14K07)

[201]

86g:11033 Frey, Gerhard Der Rang der Lösungen von $Y\sp{2}=X\sp{3}±p\sp{3}$ über ${Q}$. (German) [The rank of the solutions of $Y\sp{2}=X\sp{3}\pm p\sp{3}$ over ${\bf Q}$ ] Manuscripta Math. 48 (1984), no. 1-3, 71--101. (Reviewer: Andrew Bremner) 11G05 (11D25 14G25 14K15)

[202]

86f:11047 Zagier, D. $L$-series of elliptic curves, the Birch\mhy Swinnerton-Dyer conjecture, and the class number problem of Gauss. Notices Amer. Math. Soc. 31 (1984), no. 7, 739--743. (Reviewer: Jing Yu) 11G40 (11R29 14G10)

[203]

86d:11049 Abramov, S. A.; Rosenbloom, M. J. On the Birch\mhy Swinnerton-Dyer conjecture mod $p$. J. Number Theory 19 (1984), no. 3, 297--300. (Reviewer: Reinhard Bölling) 11G07 (11G40 14G20 14K07)

[204]

86c:11040 Koblitz, Neal Introduction to elliptic curves and modular forms. Graduate Texts in Mathematics, 97. Springer-Verlag, New York-Berlin, 1984. viii+248 pp. ISBN: 0-387-96029-5 (Reviewer: Leslie Jane Federer) 11G05 (11G40 14G25 14K07)

[205]

85k:11029 Bernardi, D.; Goldstein, C.; Stephens, N. Notes $p$-adiques sur les courbes elliptiques. (French) [$p$-adic notes on elliptic curves] J. Reine Angew. Math. 351 (1984), 129--170. (Reviewer: Leslie Jane Federer) 11G40 (11G05 14G25 14K22)

[206]

85j:11062 Birch, B. J.; Stephens, N. M. Heegner's construction of points on the curve $y\sp{2}=x\sp{3}-1728e\sp{3}$. Seminar on number theory, Paris 1981--82 (Paris, 1981/1982), 1--19, Progr. Math., 38, Birkhäuser Boston, Boston, Mass., 1983. (Reviewer: Karl Rubin) 11G05 (11G40 14G05 14G10 14K15)

[207]

85g:14025 Mestre, J.-F. Courbes elliptiques et formules explicites. (French) [Elliptic curves and explicit formulas] Seminar on number theory, Paris 1981--82 (Paris, 1981/1982), 179--187, Progr. Math., 38, Birkhäuser Boston, Boston, MA, 1983. (Reviewer: Loren D. Olson) 14G25 (11G05 11G40 14K07)

[208]

85d:11101 Coates, John Infinite descent on elliptic curves with complex multiplication. Arithmetic and geometry, Vol. I, 107--137, Progr. Math., 35, Birkhäuser Boston, Boston, Mass., 1983. (Reviewer: Leslie Jane Federer) 11R42 (11G05 11R23 14K07 14K22)

[209]

85d:11100 Coates, John; Goldstein, Catherine Some remarks on the main conjecture for elliptic curves with complex multiplication. Amer. J. Math. 105 (1983), no. 2, 337--366. (Reviewer: Leslie Jane Federer) 11R42 (11G05 14K07 14K22)

[210]

85d:11062 Gross, Benedict; Zagier, Don Points de Heegner et dérivées de fonctions $L$. (French) [Heegner points and derivatives of $L$-functions] C. R. Acad. Sci. Paris Sér. I Math. 297 (1983), no. 2, 85--87. (Reviewer: Karl Rubin) 11G40 (11F11 14G10 14K15)

[211]

85d:11046 Tunnell, J. B. A classical Diophantine problem and modular forms of weight $3/2$. Invent. Math. 72 (1983), no. 2, 323--334. (Reviewer: Yasutaka Ihara) 11F11 (11D25 14G10)

[212]

85c:11052 Greenberg, Ralph On the Birch and Swinnerton-Dyer conjecture. Invent. Math. 72 (1983), no. 2, 241--265. (Reviewer: Kenneth A. Ribet) 11G40 (11G15 14G25 14K07)

[213]

84m:14048 Perrin-Riou, Bernadette Descente infinie et hauteur $p$-adique sur une courbe elliptique. (French) [Infinite descent and $p$-adic height on an elliptic curve] Seminar on Number Theory, Paris 1980-81 (Paris, 1980/1981), pp. 209--219, Progr. Math., 22, Birkhäuser, Boston, Mass., 1982. (Reviewer: Leslie Jane Federer) 14K07 (12A70 14G10 14G25)

[214]

84m:14025 Boutot, Jean-François; Breen, Lawrence; Gérardin, Paul; Giraud, Jean; Labesse, Jean-Pierre; Milne, James Stuart; Soulé, Christophe Variétés de Shimura et fonctions $L$. (French) [Shimura varieties and $L$-functions] Publications Mathématiques de l'Université Paris VII [Mathematical Publications of the University of Paris VII], 6. Université de Paris VII, U.E.R. de Mathématiques, Paris, 1979. 178 pp. 14G10 (10D25 12A67 14K10)

[215]

84k:14020 Rakhimov, I. S. Decomposition of the Jacobi variety of a Fermat curve. (Russian) Tashkent. Gos. Univ. Sb. Nauchn. Trudov No. 689, (1982), 49--55. 14G25 (14G10 14H25)

[216]

84k:14018 Zink, Thomas The local $L$-factor of a Shimura variety at a bad prime. Proceedings of the Week of Algebraic Geometry (Bucharest, 1980), 180--182, Teubner-Texte zur Math., 40, Teubner, Leipzig, 1981. 14G10 (10D25)

[217]

84j:17009 Rubenthaler, Hubert Espaces préhomogènes de type parabolique. (French) [Prehomogeneous spaces of parabolic type] Lectures on harmonic analysis on Lie groups and related topics (Strasbourg, 1979), pp. 189--221, Lectures in Math., 14, Kinokuniya Book Store, Tokyo, 1982. (Reviewer: T. Ono) 17B20 (12A70 14G10 22E50 22E60 32M10)

[218]

84j:14030 Kamienny, S. On $J\sb{1}(p)$ and the conjecture of Birch and Swinnerton-Dyer. Duke Math. J. 49 (1982), no. 2, 329--340. (Reviewer: Reinhard Bölling) 14G10 (10D24 12A70 14G25 14H25)

[219]

84j:12015 Moreno, Carlos J. Advanced analytic number theory. Part I. Ramification. Theoretic methods. Contemporary Mathematics, 15. Oxford Science Publications. American Mathematical Society, Providence, R.I., 1983. viii+190 pp. ISBN: 0-8218-5015-6 (Reviewer: Ernst-Wilhelm Zink) 12B10 (10D15 12A65 12A67 12B25 12B27 14G10)

[220]

84j:12012 Soulé, Christophe On $K$-theory and values of zeta functions. Current trends in algebraic topology, Part 1 (London, Ont., 1981), pp. 49--58, CMS Conf. Proc., 2, Amer. Math. Soc., Providence, R.I., 1982. (Reviewer: Daniel R. Grayson) 12A70 (12A62 14G10 18F25)

[221]

84j:10041 Anderson, Greg W. Logarithmic derivatives of Dirichlet $L$-functions and the periods of abelian varieties. Compositio Math. 45 (1982), no. 3, 315--332. (Reviewer: David Goss) 10D25 (12A70 14G10 14G20 14K22)

[222]

84i:14027 Schneider, Peter Zur Vermutung von Birch und Swinnerton-Dyer über globalen Funktionenkörpern. (German) [On the conjecture of Birch and Swinnerton-Dyer over global function fields] Math. Ann. 260 (1982), no. 4, 495--510. (Reviewer: Reinhard Bölling) 14K15 (12A90 14G10)

[223]

84i:14016 Rapoport, M.; Zink, Th. Über die lokale Zetafunktion von Shimuravarietäten. Monodromiefiltration und verschwindende Zyklen in ungleicher Charakteristik. (German) [On the local zeta function of Shimura varieties. Monodromy filtration and vanishing cycles in unequal characteristic] Invent. Math. 68 (1982), no. 1, 21--101. (Reviewer: J. S. Milne) 14G10 (10D35 10D40 12A67 14K15)

[224]

84i:10016 Bremner, Andrew; Morton, Patrick A new characterization of the integer $5906$. Manuscripta Math. 44 (1983), no. 1-3, 187--229. (Reviewer: Karl Rubin) 10B10 (12A40 14G05 14G10 14H25)

[225]

84h:14049 Goldstein, Catherine Courbes elliptiques et théorie d'Iwasawa. (French) [Elliptic curves and Iwasawa theory] With a chapter coauthored by N. Schappacher. With an English summary. Publications Mathématiques d'Orsay 82 [Mathematical Publications of Orsay 82], 1. Université de Paris-Sud, Département de Mathématique, Orsay, 1982. iii+41 pp. (Reviewer: Lawrence Washington) 14K07 (12A70 14G10 14K15)

[226]

84h:14027 Schneider, Peter On the values of the zeta function of a variety over a finite field. Compositio Math. 46 (1982), no. 2, 133--143. (Reviewer: Yu. G. Zarkhin) 14G10 (14G13 14G15)

[227]

84h:12018 Rubin, Karl Congruences for special values of $L$-functions of elliptic curves with complex multiplication. Invent. Math. 71 (1983), no. 2, 339--364. (Reviewer: Kenneth Kramer) 12A70 (10D25 14G10 14K22)

[228]

84h:12017 Rubin, Karl; Wiles, Andrew Mordell\mhy Weil groups of elliptic curves over cyclotomic fields. Number theory related to Fermat's last theorem (Cambridge, Mass., 1981), pp. 237--254, Progr. Math., 26, Birkhäuser, Boston, Mass., 1982. (Reviewer: Kenneth Kramer) 12A70 (10D25 14G10 14K22)

[229]

84h:10053 Hooley, C. On exponential sums and certain of their applications. Number theory days, 1980 (Exeter, 1980), 92--122, London Math. Soc. Lecture Note Ser., 56, Cambridge Univ. Press, Cambridge-New York, 1982. (Reviewer: K. S. Williams) 10G10 (10G05 14G10)

[230]

84h:10039 Morita, Yasuo Reduction modulo ${\germ P}$ of Shimura curves. Hokkaido Math. J. 10 (1981), no. 2, 209--238. (Reviewer: Thomas Zink) 10D25 (10D23 12A90 14G10 14K15)

[231]

84g:14043 Zimmer, Horst G. Untergruppen der rationalen Punktgruppe einer elliptischen Kurve. (German) [Subgroups of the group of rational points of an elliptic curve] Mitt. Math. Ges. Hamburg 11 (1982), no. 1, 47--75. (Reviewer: Andrew Bremner) 14K07 (14G13 14K15)

[232]

84g:14021 Kamienny, S.; Stevens, G. Special values of $L$-functions attached to $X\sb{1}(N)$. Compositio Math. 49 (1983), no. 1, 121--142. (Reviewer: David Goss) 14G10 (10D12 12A70 14G25 14K07 14K15)

[233]

84g:12003 Mazur, B.; Wiles, A. Analogies between function fields and number fields. Amer. J. Math. 105 (1983), no. 2, 507--521. (Reviewer: David Goss) 12A35 (12A50 14G10 14G15)

[234]

84e:14021 Murty, V. Kumar On the Sato\mhy Tate conjecture. Number theory related to Fermat's last theorem (Cambridge, Mass., 1981), pp. 195--205, Progr. Math., 26, Birkhäuser, Boston, Mass., 1982. (Reviewer: Yu. G. Zarkhin) 14G13 (12A90 14G10 14K15)

[235]

84e:14020 Gross, Benedict H. On the conjecture of Birch and Swinnerton-Dyer for elliptic curves with complex multiplication. Number theory related to Fermat's last theorem (Cambridge, Mass., 1981), pp. 219--236, Progr. Math., 26, Birkhäuser, Boston, Mass., 1982. (Reviewer: M. A. Kenku) 14G10 (12A70 14K22)

[236]

84d:14031 Goldfeld, Dorian Sur les produits partiels eulériens attachés aux courbes elliptiques. (French) [On the partial Euler products associated with elliptic curves] C. R. Acad. Sci. Paris Sér. I Math. 294 (1982), no. 14, 471--474. (Reviewer: Andrew Bremner) 14K15 (12A70 14G10 14K07)

[237]

84c:14039 Stark, H. M. The Coates\mhy Wiles theorem revisited. Number theory related to Fermat's last theorem (Cambridge, Mass., 1981), pp. 349--362, Progr. Math., 26, Birkhäuser, Boston, Mass., 1982. (Reviewer: R. W. K. Odoni) 14K22 (10D25 14G10 14G25)

[238]

84b:14020 Yager, Rodney I. On two variable $p$-adic $L$-functions. Ann. of Math. (2) 115 (1982), no. 2, 411--449. (Reviewer: Alan Candiotti) 14K07 (12A70 12B30 14G10 14K22)

[239]

84b:12019 Harder, Günter Über spezielle Werte von $L$-Funktionen. (German) [On special values of $L$-functions] Mitt. Math. Ges. Hamburg 11 (1982), no. 1, 121--127. 12A70

[240]

83m:14031 Kramer, K.; Tunnell, J. Elliptic curves and local $\varepsilon $-factors. Compositio Math. 46 (1982), no. 3, 307--352. (Reviewer: Ernst-Wilhelm Zink) 14K07 (10D40 14G10 14G20)

[241]

83m:14016 Yui, Noriko On the product of two Fermat curves over finite fields. C. R. Math. Rep. Acad. Sci. Canada 4 (1982), no. 6, 387--392. 14G10 (14J20)

[242]

83h:14035 Zarkhin, Yu. G. The Brauer group of an abelian variety over a finite field. (Russian) Izv. Akad. Nauk SSSR Ser. Mat. 46 (1982), no. 2, 211--243, 431. (Reviewer: Reinhard Bölling) 14K15 (14G10)

[243]

83g:14008 Staut, W. Zeta- und $L$-Funktionen eines algebraischen Funktionenkörpers in zwei Veränderlichen. [Zeta and $L$-functions of an algebraic function field in two variables] Arch. Math. (Basel) 32 (1979), no. 3, 246--264. (Reviewer: Author's review) 14G10

[244]

83g:12015 Meuser, Diane On the rationality of certain generating functions. Math. Ann. 256 (1981), no. 3, 303--310. (Reviewer: Daniel Barsky) 12B30 (14G10)

[245]

83f:10034 Rubin, Karl Elliptic curves with complex multiplication and the conjecture of Birch and Swinnerton-Dyer. Invent. Math. 64 (1981), no. 3, 455--470. (Reviewer: Sheldon Kamienny) 10D25 (12B30)

[246]

83e:10025 Groscot, Herbert Points entiers sur les courbes elliptiques. (French) [Integer points on elliptic curves] C. R. Acad. Sci. Paris Sér. I Math. 292 (1981), no. 18, 859--862. 10B10 (10F35)

[247]

83c:14016 Turner, Stuart The zeta function of a birational Severi\mhy Brauer scheme. Bol. Soc. Brasil. Mat. 10 (1979), no. 2, 25--50. 14G10

[248]

83c:10038 Drinfel\cprime d, V. G. The number of two-dimensional irreducible representations of the fundamental group of a curve over a finite field. (Russian) Funktsional. Anal. i Prilozhen. 15 (1981), no. 4, 75--76. (Reviewer: J. Tunnell) 10D40 (14G10)

[249]

83b:10033 Kottwitz, R. E. Combinatorics and Shimura varieties ${\rm mod}$ $p$ (based on lectures by Langlands). Automorphic forms, representations and $L$-functions (Proc. Sympos. Pure Math., Oregon State Univ., Corvallis, Ore., 1977), Part 2, pp. 185--192, Proc. Sympos. Pure Math., XXXIII, Amer. Math. Soc., Providence, R.I., 1979. 10D40 (14G10 14K15)

[250]

83b:10029 Kohnen, W.; Zagier, D. Values of $L$-series of modular forms at the center of the critical strip. Invent. Math. 64 (1981), no. 2, 175--198. (Reviewer: Marie-France Vignéras) 10D24 (10D12)

[251]

83a:14022 Katz, Nicholas M. Crystalline cohomology, Dieudonné modules, and Jacobi sums. Automorphic forms, representation theory and arithmetic (Bombay, 1979), pp. 165--246, Tata Inst. Fund. Res. Studies in Math., 10, Tata Inst. Fundamental Res., Bombay, 1981. (Reviewer: Thomas Zink) 14G10 (10G20 12G05 14L05)

[252]

82m:14016 Yui, Noriko On the Jacobian variety of the Fermat curve. J. Algebra 65 (1980), no. 1, 1--35. (Reviewer: William C. Waterhouse) 14H45 (14G10 14L05)

[253]

82m:12008 Ramakrishnan, Dinakar A regulator for curves via the Heisenberg group. Bull. Amer. Math. Soc. (N.S.) 5 (1981), no. 2, 191--195. 12A70 (14C35 14G10)

[254]

82g:14026 Gross, Benedict H.; Zagier, Don On the critical values of Hecke $L$-series. Abelian functions and transcendental numbers (Colloq., École Polytech., Palaiseau, 1979) (French). Mém. Soc. Math. France (N.S.) 1980/81, no. 2, 49--54. (Reviewer: Kenneth Kramer) 14G10 (14K15)

[255]

82e:14033 Mazur, B. On the arithmetic of special values of $L$ functions. Invent. Math. 55 (1979), no. 3, 207--240. (Reviewer: V. V. Shokurov) 14G10 (10D24 12A70 14G25 14K07)

[256]

82e:14012 Bloch, Spencer Lectures on algebraic cycles. Duke University Mathematics Series, IV. Duke University, Mathematics Department, Durham, N.C., 1980. 182 pp. (not consecutively paged). (Reviewer: V. V. Shokurov) 14Cxx (14G10 18F25)

[257]

82e:10048 Milne, J. S. Points on Shimura varieties mod $p$. Automorphic forms, representations and $L$-functions (Proc. Sympos. Pure Math., Oregon State Univ., Corvallis, Ore., 1977), Part 2, pp. 165--184, Proc. Sympos. Pure Math., XXXIII, Amer. Math. Soc., Providence, R.I., 1979. (Reviewer: A. B. Venkov) 10D40 (10D20 14G10 14K10)

[258]

82e:10046 Casselman, W. The Hasse-Weil $\zeta $-function of some moduli varieties of dimension greater than one. Automorphic forms, representations and $L$-functions (Proc. Sympos. Pure Math., Oregon State Univ., Corvallis, Ore., 1977), Part 2, pp. 141--163, Proc. Sympos. Pure Math., XXXIII, Amer. Math. Soc., Providence, R.I., 1979. (Reviewer: A. B. Venkov) 10D40 (10D24 12B27 14G10 14G25)

[259]

82d:14026 Mori, Shigefumi On Tate conjecture concerning endomorphisms of abelian varieties. Proceedings of the International Symposium on Algebraic Geometry (Kyoto Univ., Kyoto, 1977), pp. 219--230, Kinokuniya Book Store, Tokyo, 1978. (Reviewer: William C. Waterhouse) 14K15 (10D35 14G10)

[260]

81m:14030 Bloch, S. A note on height pairings, Tamagawa numbers, and the Birch and Swinnerton-Dyer conjecture. Invent. Math. 58 (1980), no. 1, 65--76. (Reviewer: T. Ono) 14K15 (12A70 14G25)

[261]

81m:12022 Sperber, Steven I. On the $L$-functions associated with certain exponential sums. J. Number Theory 12 (1980), no. 2, 141--153. (Reviewer: Daniel Barsky) 12C25 (10G05 14G10)

[262]

81k:14020 Be\u \i linson, A. A. Higher regulators and values of $L$-functions of curves. (Russian) Funktsional. Anal. i Prilozhen. 14 (1980), no. 2, 46--47. (Reviewer: Krystyna Bartz) 14G10 (12A70)

[263]

81e:14015 Abramov, S. A.; Rozenbljum, M. Ju. Approximate calculation of the first term of the Taylor expansion at $1$ of the canonical $L$-function of Weil curves. (Russian) Mat. Zametki 26 (1979), no. 6, 913--920, 973. (Reviewer: Neal Koblitz) 14G25 (14K07)

[264]

81d:14014 Christol, Gilles Introduction aux travaux de Dwork. (French) Groupe d'Etude d'Analyse Ultramétrique (5e année: 1977/78), Exp. No. 12, 9 pp., Secrétariat Math., Paris, 1978. (Reviewer: Alan Adolphson) 14G20 (14F30 14G10)

[265]

81c:14011 Coates, John The arithmetic of elliptic curves with complex multiplication. Proceedings of the International Congress of Mathematicians (Helsinki, 1978), pp. 351--355, Acad. Sci. Fennica, Helsinki, 1980. (Reviewer: Lawrence Washington) 14G10 (12A35 14K07)

[266]

80j:10046 Goldfeld, D.; Viola, C. Mean values of $L$-functions associated to elliptic, Fermat and other curves at the centre of the critical strip. J. Number Theory 11 (1979), no. 3 S. Chowla Anniversary Issue, 305--320. (Reviewer: A. I. Vinogradov) 10H08 (14G10)

[267]

80f:14011 Odoni, R. W. K. A proof by classical methods of a result of Ax on polynomial congruences modulo a prime. Bull. London Math. Soc. 11 (1979), no. 1, 55--58. (Reviewer: P. Roquette) 14G10 (10B15)

[268]

80f:12012 Lang, Serge Sur la conjecture de Birch\mhy Swinnerton\mhy Dyer (d'après J. Coates et A. Wiles). (French) Séminaire Bourbaki, 29e année (1976/77), Exp. 503, pp. 189--200, Lecture Notes in Math., 677, Springer, Berlin, 1978. 12A70 (10H10 14G25)

[269]

80b:14013 Arthaud, Nicole On Birch and Swinnerton-Dyer's conjecture for elliptic curves with complex multiplication. I. Compositio Math. 37 (1978), no. 2, 209--232. (Reviewer: J. W. S. Cassels) 14G10

[270]

80b:12009 Báyer, Pilar; Neukirch, Jürgen On values of zeta functions and $l$-adic Euler characteristics. Invent. Math. 50 (1978/79), no. 1, 35--64. (Reviewer: Lawrence Washington) 12A70 (14G10)

[271]

58 #27994 Mestre, Jean-François Majoration du rang d'une courbe elliptique définie sur ${Q}$. (French) Séminaire de Théorie des Nombres (1976--1977), Exp. No. 13, 11 pp. Lab. Théorie des Nombres, CNRS, Talence, 1977. (Reviewer: D. J. Lewis) 14G25 (10B15)

[272]

58 #16519 Kur\v canov, P. F. The zeta-function of elliptic curves over certain abelian extensions of imaginary quadratic fields. (Russian) Mat. Sb. (N.S.) 102(144) (1977), no. 1, 56--70, 151. (Reviewer: Neal Koblitz) 10D05 (14G10 14K15)

[273]

58 #10742 Berkovi\v c, V. G. The rational points on the Jacobians of modular curves. (Russian) Mat. Sb. (N.S.) 101(143) (1976), no. 4, 542--567, 639. (Reviewer: J. W. S. Cassels) 10D05 (10D15 14K15)

[274]

55 #12726 Mazur, B. $p$-adic analytic number theory of elliptic curves and Abelian varieties over $Q$. Proceedings of the International Congress of Mathematicians (Vancouver, B. C., 1974), Vol. 1, pp. 369--377. Canad. Math. Congress, Montreal, Que., 1975. (Reviewer: Neal Koblitz) 14G25 (12A70 10D15 10B10)

[275]

55 #10453 Hoobler, Raymond T. Frobenius calculations of Picard groups and the Birch-Tate-Swinnerton-Dyer conjecture. Trans. Amer. Math. Soc. 222 (1976), 345--352. (Reviewer: J.-E. Bertin) 14C20 (14G20)

[276]

54 #2659 Milne, J. S. On a conjecture of Artin and Tate. Ann. of Math. (2) 102 (1975), no. 3, 517--533. (Reviewer: Loren D. Olson) 14G10

[277]

52 #13849 Slater, J. B. Congruences on the $L$-function of an elliptic curve parametrised by modular functions. J. London Math. Soc. (2) 11 (1975), no. 3, 285--293. (Reviewer: Michael Razar) 14G25 (14G10)

[278]

50 #13044b Razar, Michael J. A relation between the two-component of the Tate-\v Safarevi\v c group and $L(1)$ for certain elliptic curves. Amer. J. Math. 96 (1974), 127--144. (Reviewer: J. W. S. Cassels) 14G10 (14K15)

[279]

45 #6822 Kisun\cprime ko, A. G. The elliptic curves $x\sp{3}+y\sp{3}=D$. (Russian) Mat. Zametki 10 (1971), 407--414. (Reviewer: J. Browkin) 14G10 (10H05)

[280]

44 #2758 Damerell, R. M. $L$-functions of elliptic curves with complex multiplication. I. Acta Arith. 17 1970 287--301. (Reviewer: J. V. Armitage) 14.48 (14.00)

[281]

40 #2600 Mordell, L. J. Diophantine equations. Pure and Applied Mathematics, Vol. 30 Academic Press, London-New York 1969 xi+312 pp. (Reviewer: S. Chowla) 10.10

[282]

39 #5581 Milne, J. S. The Tate-\v Safarevi\v c group of a constant abelian variety. Invent. Math. 6 1968 91--105. (Reviewer: F. Oort) 14.51

[283]

39 #4097 Stephens, N. M. A corollary to a conjecture of Birch and Swinnerton-Dyer. J. London Math. Soc. 43 1968 146--148. (Reviewer: B. Berlowitz) 10.12

[284]

1 744 926 Ochiai, Tadashi On operators of local Weil groups and their traces. (Japanese) Algebraic number theory and related topics (Japanese) (Kyoto, 1998). S\=urikaisekikenky\=usho K\=oky\=uroku No. 1097, (1999), 100--107. 14F30 (14G10)

[285]

1 647 355 Sato, Hisayoshi Kummer expansions and Mordell-Weil rank of elliptic curves. (Japanese) Algebraic number theory and related topics (Japanese) (Kyoto, 1997). S\=urikaisekikenky\=usho K\=oky\=uroku No. 1026, (1998), 76--80. 11G40 (11G05)

[286]

1 638 495 Darmon, Henri Wiles' theorem and the arithmetic of elliptic curves. Modular forms and Fermat's last theorem (Boston, MA, 1995), 549--569, Springer, New York, 1997. 11G40 (11G05)

[287]

1 638 476 Rohrlich, David E. Modular curves, Hecke correspondence, and $L$-functions. Modular forms and Fermat's last theorem (Boston, MA, 1995), 41--100, Springer, New York, 1997. 11G18 (11F32 11F66 11G40)

[288]

1 622 123 Taguchi, Yuichiro $L$-functions of Drin\cprime feld modules. (Japanese) Algebraic number theory and related topics (Japanese) (Kyoto, 1996). S\=urikaisekikenky\=usho K\=oky\=uroku No. 998, (1997), 170--173. 11G40 (11G09)

[289]

1 610 978 Borel, Armand Opérateurs de Hecke et fonctions zêta. (French) [Hecke operators and zeta functions] Séminaire Bourbaki, Vol. 9, Exp. No. 307, 441--463, Soc. Math. France, Paris, 1995. 11G40 (11F25)

[290]

1 610 977 Tate, John On the conjectures of Birch and Swinnerton-Dyer and a geometric analog. Séminaire Bourbaki, Vol. 9, Exp. No. 306, 415--440, Soc. Math. France, Paris, 1995. 11G40 (14G10)

[291]

1 608 788 Grothendieck, Alexander Formule de Lefschetz et rationalité des fonctions $L$. (French) [Lefschetz formula and rationality of $L$-functions] Séminaire Bourbaki, Vol. 9, Exp. No. 279, 41--55, Soc. Math. France, Paris, 1995. 14G10

[292]

1 603 483 Serre, Jean-Pierre Rationalité des fonctions $\zeta$ des variétés algébriques (d'après Bernard Dwork). (French) [Rationality of the $\zeta$-functions of algebraic varieties (after Bernard Dwork)] Séminaire Bourbaki, Vol. 5, Exp. No. 198, 415--425, Soc. Math. France, Paris, 1995. 14G10 (11G40)

[293]

1 489 246 Ben-Or, Michael Algebraic computation trees in characteristic $p>0$ (extended abstract). 35th Annual Symposium on Foundations of Computer Science (Santa Fe, NM, 1994), 534--539, IEEE Comput. Soc. Press, Los Alamitos, CA, 1994. 68Q40 (14G10 68Q25)

[294]

1 417 502 Kato, Kazuya Elliptic curves: Iwasawa's theory of automorphic forms. (Japanese) Algebraic number theory and arithmetic geometry (Japanese) (Kyoto, 1994). S\=urikaisekikenky\=usho K\=oky\=uroku No. 925, (1995), 66--76. 11G05 (11F11 11G40)

[295]

1 417 501 Kurihara, Masato An outline of generalized Iwasawa theory. (Japanese) Algebraic number theory and arithmetic geometry (Japanese) (Kyoto, 1994). S\=urikaisekikenky\=usho K\=oky\=uroku No. 925, (1995), 53--65. 11R23 (11G40)

[296]

1 417 500 Sugimoto, Shin Introduction to the Bloch-Kato conjecture. II. (Japanese) Algebraic number theory and arithmetic geometry (Japanese) (Kyoto, 1994). S\=urikaisekikenky\=usho K\=oky\=uroku No. 925, (1995), 43--52. 11G40 (14G20)

[297]

1 417 499 Tsuzuki, Nobuo Introduction to the Bloch-Kato conjecture. I. The theory over non-Archimedean local fields. (Japanese) Algebraic number theory and arithmetic geometry (Japanese) (Kyoto, 1994). S\=urikaisekikenky\=usho K\=oky\=uroku No. 925, (1995), 34--42. 11G40 (14G20)

[298]

1 417 497 Aoki, Noboru Introduction to the work of Kolyvagin as it relates to the Birch-Swinnerton-Dyer conjecture. (Japanese) Algebraic number theory and arithmetic geometry (Japanese) (Kyoto, 1994). S\=urikaisekikenky\=usho K\=oky\=uroku No. 925, (1995), 10--18. 11G40 (11G05)

[299]

1 417 496 Nakajima, Shoichi Introduction to the Birch-Swinnerton-Dyer conjecture. (Japanese) Algebraic number theory and arithmetic geometry (Japanese) (Kyoto, 1994). S\=urikaisekikenky\=usho K\=oky\=uroku No. 925, (1995), 1--9. 11G40 (11G05)

[300]

1 353 930 Goto, Yasuhiro On the orders of the Brauer groups of some weighted diagonal surfaces. Number theory (Halifax, NS, 1994), 175--186, CMS Conf. Proc., 15, Amer. Math. Soc., Providence, RI, 1995. 11G25 (14G10 14J28)

[301]

1 335 957 Ogata, Sh\=oetsu Singularities and signature theorem [translation of S\=ugaku {45} (1993), no. 1, 1--11; MR 94i:58191]. Sugaku Expositions. Sugaku Expositions 8 (1995), no. 1, 89--102. 58G10 (14G10)

[302]

1 296 723 Yoshida, Hiroyuki On the zeta functions of Shimura varieties and periods of Hilbert modular forms. (Japanese) Research into automorphic forms and $L$ functions (Japanese) (Kyoto, 1992). S\=urikaisekikenky\=usho K\=oky\=uroku No. 843, (1993), 199--209. 11F67 (11F41 11G18 11G40)

[303]

1 248 207 Kurokawa, Nobushige Determinant representations of zeta functions and tensor products. (Japanese) Algebraic analysis and number theory (Kyoto, 1992). S\=urikaisekikenky\=usho K\=oky\=uroku No. 810, (1992), 305--317. 11M41 (11F72 14G10)

[304]

1 248 205 Kato, Kazuya The explicit reciprocity law and the values of zeta. (Japanese) Algebraic analysis and number theory (Kyoto, 1992). S\=urikaisekikenky\=usho K\=oky\=uroku No. 810, (1992), 264--279. 11G40 (11R23 14G10)

[305]

971 304 Kogan, L. A.; Tashpulatov, B. T. On the scalar product of Dirichlet series generated by elliptic curves with complex multiplication. (Russian) Investigations in degenerate differential equations and limit theorems of probability theory (Russian), 102--104, Tashkent. Gos. Ped. Inst., Tashkent, 1985. 14G10

[306]

921 867 Thakur, D. S. Number fields and function fields (zeta and gamma functions at all primes). Proceedings of the conference on $p$-adic analysis (Houthalen, 1987), 149--157, Vrije Univ. Brussel, Brussels, 1986. 11R58 (11G40 11S40)

[307]

791 600 Schneider, Peter The Iwasawa theoretic version of the conjecture of Birch and Swinnerton-Dyer. Seminar on number theory, Paris 1982--83 (Paris, 1982/1983), 275--281, Progr. Math., 51, Birkhäuser Boston, Boston, MA, 1984. 11G10 (11G40 11R23 14K15)

[308]

784 063 Tilouine, Jacques Fonctions $L$ $p$-adiques d'une courbe elliptique. (French) [$p$-adic $L$-functions of an elliptic curve] Seminar on number theory, 1983--1984 (Talence, 1983/1984), Exp. No. 12, 13 pp., Univ. Bordeaux I, Talence, 1984. 11G40 (11G05 14G10 14K07)

[309]

756 089 Lichtenbaum, S. Values of zeta-functions at nonnegative integers. Number theory, Noordwijkerhout 1983 (Noordwijkerhout, 1983), 127--138, Lecture Notes in Math., 1068, Springer, Berlin, 1984. 11G40 (14G10)

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