Periods, subconvexity of L-functions and representation theory

Details Periods, subconvexity of L-functions and representation theory Periods, subconvexity of L-functions and representation theory

2005-04-20

arxiv.org/abs/math/0504411v1

Mathematics

Representation Theory

To appear in J. of Diff. Geometry, Vol. 69 issue 2 in honor of Prof. Raoul Bott; 12 p

Scientific paper

We describe a new method to estimate the trilinear period on automorphic representations of PGL(2,R). Such a period gives rise to a special value of the triple L-function. We prove a bound for the triple period which amounts to a subconvexity bound for the corresponding special value. Our method is based on the study of the analytic structure of the corresponding unique trilinear functional on unitary representations of PGL(2,R).

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