##### Department of Mathematics,

University of California San Diego

****************************

### Math 209 - Number Theory

## Tom Petrillo

#### UCSD

## "Explicit Formulae for Zeta Functions and L-Functions of Graphs

##### Abstract:

We will briefly introduce graph theory Zeta and L-functions. We will then proceed to develop an explicit formula for both, similar to those appearing classically. Along the way, there will be a discussion of applications and the Riemann Hypothesis (or lack thereof) for graphs.

### February 25, 2010

### 1:00 PM

### AP&M 7321

****************************