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Ken Ono : Special values of modular shifted convolution Dirichlet series (Sep 24, 2014 1:25 PM)
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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