A standard zero free region for Rankin-Selberg L-functions

Abstract

A standard zero free region is obtained for Rankin Selberg L-functions $L(s,f\times \tilde{f})$ where $f$ is an almost everywhere tempered Maass form on $GL(n)$ and $f$ is not necessarily self dual. The method is based on the theory of Eisenstein series generalizing a work of Sarnak.

67 pages