Subconvexity bounds for triple L-functions and representation theory
Number Theory
2010-03-26 v3 Representation 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 of the triple L-function. Our method is based on the study of the analytic structure of the corresponding unique trilinear functional on unitary representations of PGL(2,R).
Keywords
Cite
@article{arxiv.math/0608555,
title = {Subconvexity bounds for triple L-functions and representation theory},
author = {Joseph Bernstein and Andre Reznikov},
journal= {arXiv preprint arXiv:math/0608555},
year = {2010}
}
Comments
Revised version. To appear in Annals of Math.