In this paper we prove the equivalence between the non-vanishing of the E) correspondence on an irreducible, generic, cuspidal representation of U2n+1, the non-vanishing of a certain generalized period and the existence of a pole of a twisted partial L-function.
Poles of L-functions, periods and unitary theta. Part I: Odd to even
GRENIE, Loic Andre Henri
2004-01-01
Abstract
In this paper we prove the equivalence between the non-vanishing of the E) correspondence on an irreducible, generic, cuspidal representation of U2n+1, the non-vanishing of a certain generalized period and the existence of a pole of a twisted partial L-function.File allegato/i alla scheda:
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