Explicit mean value formula for periods and L-functions
Miyu Suzuki (Kanazawa University)
Abstract: I will present an explicit mean value formula for the central values of twisted modular L-functions. This is a special case of the general result for automorphic representations of GL(2) and its inner forms. For the proof, we introduce a certain zeta function associated with a perhomogeneous vector space. I also present some numerical examples of our mean value formulas. This talk is based on a joint work with Satoshi Wakatsuki and Shun'ichi Yokoyama.
number theory
Audience: researchers in the topic
Japan Europe Number Theory Exchange Seminar
Series comments: The purpose of the Japan Europe Number Theory Exchange Seminar is to give a opportunity for researchers in Japan and Europe to exchange their research projects by giving short talks (30 min). The target audience are researchers of any level in the area of number theory.
Start for Fall 2021: 26th October
Organizers: | Henrik Bachmann*, Nils Matthes |
*contact for this listing |