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Conférence "Zeta Functions"21 - 25 juin 2010Moscou, Russie |
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Organisateurs: Michel Balazard (CNRS, Laboratoire Poncelet), Michael Tsfasman (CNRS, Laboratoire Poncelet, Institut des Problèmes de Transmission de l'Information), Alexey Zykin (Laboratoire Poncelet, Haute Ecole d'Economie)
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Jeudi 24 juin, 10:00 - 11:00
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 diential 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.