August 10, 2024Open Access

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

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Abstract

We prove an asymptotic formula for a special case of the Gauss hypergeometric function which arises in explicit formulas for moments of Maass form symmetric square L-functions. The resulting formula is uniform in several variables, which is crucial for proving hybrid subconvexity bounds for the L-functions under consideration.

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Olga Balkanova (Sat,) studied this question.

synapsesocial.com/papers/68e5cc78b6db6435875633fc https://doi.org/https://doi.org/10.48550/arxiv.2408.05615

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