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

2024/08/10 by Balkanova, Olga
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2408.05615

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.

Related

• Asymptotics of a Gauss hypergeometric function related to moments of symmetric-square L-functions II
• The first moment of Maass form symmetric square L-functions
• Hybrid subconvexity for Maass form symmetric-square L-functions
• The second moment of Maass form symmetric square L-functions at the central point
• Moments of symmetric square L-functions on GL(3)