Estimates of triple products of automorphic functions II
Representation Theory
2012-02-23 v1 Number Theory
Abstract
We prove a sharp bound for the average value of the triple product of modular functions for the Hecke subgroup \Gamma_0(N). Our result is an extension of the main result in {Bernstein&Reznikov-2004} to a fixed cuspidal representation of the adele group PGL(2,A).
Keywords
Cite
@article{arxiv.1202.4766,
title = {Estimates of triple products of automorphic functions II},
author = {Andre Reznikov},
journal= {arXiv preprint arXiv:1202.4766},
year = {2012}
}
Comments
Appendix to Multiple Dirichlet Series and Shifted Convolutions by J. Hoffstein, arXiv:1110.4868