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

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/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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