Conférence "Zeta Functions"

On relations between values of triple product L-functions

Siegfried Böcherer (Mannheim)

Jeudi 24 juin, 10:00 - 11:00

Résumé

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.