Periods, subconvexity of L-functions and representation theory
Representation Theory
2007-05-23 v1 Number Theory
Abstract
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).
Cite
@article{arxiv.math/0504411,
title = {Periods, subconvexity of L-functions and representation theory},
author = {Joseph Bernstein and Andre Reznikov},
journal= {arXiv preprint arXiv:math/0504411},
year = {2007}
}
Comments
To appear in J. of Diff. Geometry, Vol. 69 issue 2 in honor of Prof. Raoul Bott; 12 p