## Introduction to Analytic Number Theory

## Topics to be covered:

- Dirichlet's Theorem on primes in progressions, Dirichlet L-functions
- Binary quadratic forms and Dirichlet's class number formula
- Riemann's zeta-function
- The Prime Number Theorem
- The Riemann Hypothesis and its consequences
- Sieve methods
- Class numbers of imaginary quadratic fields and Siegel's theorem
- GRH and its applications

## Schedule:

Tuesday, 15-18, Shenkar 114

## Prerequisites:

I will assume knowledge of the first semester courses in real and
complex variables, and the basic course in number theory.

## Suggested reading:

- H. Davenport,
*Multiplicative Number Theory*.
- T. Apostol,
* Introduction to Analytic Number Theory*.

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