Also listed below are some unpublishable papers on various mathematical topics. Some give the details of calculations which were left out of a paper, and some are of independent interest.
The irreducibility of some level-1 Hecke polynomials, by D. W. Farmer and K. L. James, preprint. (Postscript) (Dvi) (TeX)
Mean values of L-functions and symmetry, by J. B. Conrey and D. W. Farmer, preprint. (Postscript) (gzipped Postscript) (DVI, no graphs). Some of the calculations required in this paper can be found in one of my unpublishable papers listed below.
Transition mean values of real characters by J. B. Conrey, D. W. Farmer, and K. Soundararajan, to appear in J. Number Theory. (Postscript) (DVI, no graphs). Some of the calculations required in this paper can be found in one of my unpublishable papers listed below.
Factoring Hecke polynomials modulo a prime, by J. B. Conrey, D. W. Farmer, and P. J. Wallace, to appear in the Pacific J. of Mathematics. (Postscript) (DVI)
Hecke operators and the nonvanishing of L-functions, J. Brian Conrey and David W. Farmer, Topics in number theory (University Park, PA, 1997), 143--150, Math. Appl., 467, Kluwer Acad. Publ., Dordrecht, 1999. (Postscript) (DVI)
Average values of cubic L-series, David W. Farmer, Jeffrey Hoffstein, and Daniel Lieman, Automorphic forms, automorphic representations, and arithmetic (Fort Worth, TX, 1996), 27--34, Proc. Sympos. Pure Math., 66, 1999
The GL(3) Mellin transform for twisted non-cuspidal forms of higher level, David W. Farmer and Daniel Lieman, Israel J. Math. 108 (1998), 291--326.
The distribution of eigenvalues of Hecke operators, J. Brian Conrey, William Duke, and David W. Farmer, Acta Arith. 78 (1997), no. 4, 405--409. (Postscript) (DVI)
An extension of Hecke's converse theorem, J. Brian Conrey and David W. Farmer, Internat. Math. Res. Notices, 9 (1995), 445-463. (Postscript) (DVI)
Mean values of $\zeta'/\zeta$ and the GUE hypothesis, David W. Farmer, Internat. Math. Res. Notices, 2 (1995), 71-82. (Postscript) (DVI)
Counting distinct zeros of the Riemann zeta-function, David W. Farmer, Electronic J. Combinatorics, 2 (1995), R1.
Mean value of Dirichlet series associated with cusp forms, David W. Farmer, J. Number Theory, 49 (1994), 209-245. MR 95k:11076 (Postscript) (DVI)
Long mollifiers of the Riemann zeta-function, David W. Farmer, Mathematika, 40 (1993), 71-87. (Postscript) (DVI)
Unpublishable Papers of David W. Farmer
Differentiation evens out zero spacings.
(Postscript)
(DVI).
It is shown that the zeros of the derivative of a polynomial
are more evenly distributed than the zeros of the original polynomial.
Practice with the Euler-Maclaurin formula. (Postscript) (DVI). Stirling's formula and related asymptotic formulas are derived from the Euler--Maclaurin formula. These formulas were required for the paper Mean values of L-functions and symmetry
Poisson Summation and Riemann's Nondifferentiable Function . (Postscript) (DVI). The Poisson summation formula is used to analyze the behavior of Riemann's Nondifferentiable Function near a rational number. This was required for the paper Transition mean values of real characters