Estimates of automorphic functions
Representation Theory
2007-05-23 v2 Number Theory
Abstract
We present a new method of estimating trilinear period for automorphic representations of SL(2,R). The method is based on the uniqueness principle in representation theory. We show how to separate the exponentially decaying factor in the triple period from the essential automorphic factor which behaves polynomially. We also describe a general method which gives an estimate on the average of the automorphic factor and thus prove a convexity bound for the triple period.
Keywords
Cite
@article{arxiv.math/0305351,
title = {Estimates of automorphic functions},
author = {Joseph Bernstein and Andre Reznikov},
journal= {arXiv preprint arXiv:math/0305351},
year = {2007}
}
Comments
21 pages, to appear in special issue of Moscow Math. J. in honor of Pierre Cartier