Elementary Number Theory Fall 2001 at Harvard University Taught by William A. Stein This is the web page for the Fall 2001 course. You might be looking for the Fall 2002 course instead.
	Lecture Notes Homework Assignments Final Examination Virtual Office Hours Lecture Plan PARI Software

Texts

• Davenport: The Higher Arithmetic
• Kato, Kurakawa, Saito: Number Theory I
• Clay Math Institute page on the Birch and Swinnerton-Dyer conjecture, with the paper by Wiles.
• Lenstra's Annals paper on the elliptic curve factorization method
• The State of Elliptic Curve Cryptography
• Integer Factoring by Arjen Lenstra
• Speeding the Pollard and elliptic curve methods of factorization by Peter L. Montgomery

Syllabus

               syllabus.dvi      syllabus.pdf       html
               plan.dvi          plan.pdf           html

PARI

Links

• Darrin Doud's paper on computing torsion
• Eric Weisstein's world of MATHEMATICS
• The Sensual Quadratic Form
• Elliptic Curve Crypto and Microsoft's Digital Rights Management Scheme
• PARI home
• PARI Documentation
• John Cremona's number theory notes
• Number theory biographies
• The Cunningham Project
• Math 124, Spring 2000 page
• 10 line C program that does Diffie-Hellman Key Exchange
• Diffie-Hellman for Computer People
• Very precise description of implementation of Diffie-Hellman
• Diffie-Hellman key exchange:
  • 10 line C program
  • DH for Computer People
  • Precise description of implementation