##### Department of Mathematics,

University of California San Diego

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### Number Theory (Recruitment)

## Adrian Diaconu

#### CUNY and Columbia University

## Moments of quadratic Dirichlet l-functions

##### Abstract:

The study of various moments of automorphic $L$--functions plays a crucial role in analytic number theory. In this talk, we will formulate precise conjectures for the asymptotics of some classical moment problems and discuss their importance. Then, our main objective will be to outline a proof of the fourth moment conjecture of quadratic Dirichlet $L$--functions over rational function fields.

Host: Cristian Popescu

### January 13, 2005

### 2:00 PM

### AP&M 7321

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