Period integrals and Rankin-Selberg L-functions on GL(n)

preprint2011arXivOpen access

Abstract

We compute the second moment of a certain family of Rankin-Selberg LL-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 Lindelöf hypothesis on average, and recovers individually the convexity bound. This result is new even in the classical case n=2.

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