On moments of L-functions over Dirichlet characters

2025/01/25 by Bainbridge, Avery, Khan, Rizwanur, Tang, Ze Sen
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2501.15075

Abstract

We give a new proof of Heath-Brown's full asymptotic expansion for the second moment of Dirichlet L-functions and we obtain a corresponding asymptotic expansion for a twisted first moment of Hecke-Maass L-functions.

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