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

preprint2016arXivOpen access

Abstract

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

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