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Conference "Zeta Functions"
CNRS Poncelet

Conference "Zeta Functions"

June 21 - 25, 2010

Moscow, Russia

RAS Poncelet

Organisers: Michel Balazard (CNRS, Laboratoire Poncelet), Michael Tsfasman (CNRS, Laboratoire Poncelet, Institute for Information Transmission Problems), Alexey Zykin (Laboratoire Poncelet, State University Higher School of Economics)

French Russian

On relations between values of triple product L-functions

Siegfried Böcherer (Mannheim)

Thursday 24 June, 10:00 - 11:00

Abstract

By comparing several restrictions of Siegel-Eisenstein series of degree 3, B.Heim recently found a remarkable (and somewhat mysterious) formula relating central values of triple L-functions to other critical values. It is quite common that such formulas can be generalized by using equivariant di ential operators. However, there are no differential operators equivariant simultaneously under all the restrictions involved. We show how one can overcome this difficulty; as a result, we get even more mysterious identities.

Poncelet Laboratory web page