Asymptotics of a Gauss hypergeometric function related to moments of symmetric-square L-functions II

2024/08/10 by Frolenkov, Dmitry
#33C05 #41A60 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2408.05619

Abstract

We prove an asymptotic formula for F(1/4-it+ir,1/4-it-ir,1/2;x ) as r, t→∞ and α=r/t→0. This special case of the Gauss hypergeometric function appears in the explicit formula for the first moment of Maass form symmetric-square L-functions.

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• Asymptotics of a Gauss hypergeometric function related to moments of symmetric square L-functions I
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• Moments of symmetric square L-functions on GL(3)