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arxiv: 1606.00330 · v1 · pith:DHOKEHSRnew · submitted 2016-06-01 · 🧮 math.NT

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

classification 🧮 math.NT
keywords freel-functionsregionstandardzeroalmostdualeisenstein
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A standard zero free region is obtained for Rankin Selberg L-functions $L(s, f\times \widetilde{f})$ 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.

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