## Elementary Number Theory## Fall 2001 at Harvard University## Taught by William A. SteinThis is the web page for theFall 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 |

Catalog Number: 2398

Half course (fall term). MWF at 11. EXAM GROUP: 4 Office Hours: WF 2:00-3:00

Prerequisite: Mathematics 122 (which may be taken concurrently) or equivalent.

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

- 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:

Instructor Information