Math 80220 Topics in Algebra 2 (Spring
2014)
Introduction to Algebraic Number Theory
| Due | Set | Solutions | Topics |
| Fri, 2014-01-31 | Problem Set 1 | Solutions | Explicit rings of integers, discriminants. |
| Wed, 2014-02-12 | Problem Set 2 | Solutions | Euclidean domains, unique factorization domains. |
| Wed, 2014-02-26 | Problem Set 3 | Solutions | Factorization of prime ideals |
| Wed, 2014-03-19 | Problem Set 4 | Solutions | Ramification, units, class groups, class numbers |
| Wed, 2014-04-02 | Problem Set 5 | Solutions | Bernoulli numbers, Riemann zeta function at positive evens and negative odds, Eisenstein series |
| Wed, 2014-04-23 | Problem Set 6 | Solutions | The Chebotarev density theorem |
| Wed, 2014-04-30 | Problem Set 7 | Solutions | L-functions and class numbers in quadratic extensions |
| Optional | Problem Set 8 | Cyclotomic function fields |
