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# Ken Ono : Special values of modular shifted convolution Dirichlet series

Rankin-Selberg convolution L-functions are important functions in number theory. Their properties play a central role in many of deepest works on the Ramanujan-Petersson Conjecture. In a recent paper, Hoffstein and Hulse defined generalizations of these L-functions, the so-called "shifted-convolution" L-functions. They obtained the meromorphic continuation of the functions in many cases. Here we consider symmetrizations of these L-functions, and we exactly evaluate their special values at diagonal weights for all shifts. This is joint work with Michael Mertens.

**Category**: Number Theory**Duration**: 01:34:49**Date**: September 24, 2014 at 1:25 PM**Views**: 139-
**Tags:**seminar, UNC-Duke Number Theory Seminar

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