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

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Abstract

We prove an asymptotic formula for F (1/4-it+ir, 1/4-it-ir, 1/2;x) as r, t and =r/t0. 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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Dmitry Frolenkov (Sat,) studied this question.

synapsesocial.com/papers/68e5cc78b6db643587563474 https://doi.org/https://doi.org/10.48550/arxiv.2408.05619

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