##### Department of Mathematics,

University of California San Diego

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### The Number Theory

## Mark Watkins

#### University of Bristol, UK

## Computing special values of symmetric power elliptic curve L-functions

##### Abstract:

I will describe recent computations regarding special values of symmetric power elliptic curve L-functions. For the symmetric cube, these were undertaken by Buhler, Schoen, and Top in the mid 1990s. Recently the calculation of Euler factors at bad primes has been expedited by the work of Phil Martin; combined with the availability of mutli-processor clusters, the time seemed ripe for a large-scale data-gathering project, and I will share some of the preliminary results.

Host: W. Stein

### October 27, 2005

### 2:00 PM

### AP&M 7321

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