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

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

2011-06-12

arxiv.org/abs/1106.2296v2

Mathematics

Number Theory

accepted version with minor changes

Scientific paper

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 Lindel\"of hypothesis on average, and recovers
individually the convexity bound. This result is new even in the classical case
n=2.

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