Period integrals and Rankin-Selberg L-functions on GL(n)
Number Theory
2011-09-20 v2
Abstract
We compute the second moment of a certain family of Rankin-Selberg -functions L(f x g, 1/2) where f and g are Hecke-Maass cusp forms on GL(n). Our bound is as strong as the Lindel\"of hypothesis on average, and recovers individually the convexity bound. This result is new even in the classical case n=2.
Keywords
Cite
@article{arxiv.1106.2296,
title = {Period integrals and Rankin-Selberg L-functions on GL(n)},
author = {Valentin Blomer},
journal= {arXiv preprint arXiv:1106.2296},
year = {2011}
}
Comments
accepted version with minor changes