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RMA

Seminar

Subconvexity of L-functions and the uniqueness principle

Reznikov, A (Bar-IIan Univestity)
Thursday 01 July 2004, 11:00-11:40

Seminar Room 1, Newton Institute

Abstract

We consider the triple L-function $L(1/2,f\times g\times \phi_i)$ for fixed Maass forms f and g as the eigenvalue of $\phi_i$ goes to infinity.

We deduce a subconvexity bound for this L-function from the uniqueness principle in representation theory and from simple geometric properties of the corresponding invariant functional. Joint with J. Bernstein.

Presentation

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