## Advanced Number Theory 0366-4673-01

## Prof. Zeev Rudnick

### Spring 2008

## Topics to be covered:

- Dirichlet's Theorem on primes in progressions, Dirichlet L-functions
- Binary quadratic forms and Dirichlet's class number formula
- arithmetic of quadratic extensions of the rationals
- Class numbers of imaginary quadratic fields

## Schedule:

Wednesday, 14-17, Dan David 106.

## Prerequisites:

I will assume knowledge of the basic course in number theory and the
course "theory of functions of a complex variable 1" (0366-2123-04)

## Suggested reading:

- T. Apostol,
* Introduction to Analytic Number
Theory*.
- H. Cohn,
* Advanced Number Theory *
- H. Davenport,
*Multiplicative Number Theory*.
- E. Landau,
* Elementary Number Theory *.

## Handouts:

## Homework:

This will be an important part of the course.

Contact me at: rudnick@post.tau.ac.il, Office : Schreiber 316, tel:
640-7806