MA357 — Number Theory

• Course syllabus.
• Information on GP.
• On Writing Up.
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Assignments and Solutions

Writing Assignment 1. Problem Set 1. Problem Set 2. Problem Set 3. Midterm 1. Problem Set 4. Writing Assignment 2. Problem Set 5. Problem Set 6.   Problem Set 7. Final Exam. Data for Problem 5 in the Exam.

An article on the Riemann hypothesis. Comments and Solutions for Problem Set 1. Comments and Solutions for Problem Set 2. Comments and Solutions for Problem Set 3. Solutions for Midterm 1. Comments and Solutions for Problem Set 4.   Comments and Solutions for Problem Set 5. Comments and Solutions for Problem Set 6. A proof of the quadratic reciprocity law. Comments and Solutions for Problem Set 7.

Links Related to Number Theory

• My home page.
• Joe Silverman's web site for our book.
• Number Theory Web is an extensive collection of links related to number theory, including home pages of many number theorists, online course materials, and lots of other neat stuff.
• The Prime Pages collect tons of information about prime numbers.
• The GIMPS home page.
• An expository account of the Green-Tao theorem on primes in arithmetic progression.
• A short but technical paper on the work of D. A. Goldston, J. Pintz, and C. Y. Yildirim on small gaps between primes.
• MathWorld is a great site for finding out about mathematics. It's sponsored by Wolfram Research, the folks that make Mathematica.
• GP-PARI home
• The Clay Institute's Millennium Prize Problems.