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

Valentin Blomer

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arXiv · 1106.2296

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

Valentin Blomer

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Abstract

We compute the second moment of a certain family of Rankin-Selberg $L$-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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BibTeX RIS

Valentin Blomer. 2011-09-18. Period integrals and Rankin-Selberg L-functions on GL(n). https://arxiv.org/abs/1106.2296

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