On moments of L-functions over Dirichlet characters

Fuente: arXiv
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Main Authors: Bainbridge, Avery, Khan, Rizwanur, Tang, Ze Sen
Format: Preprint
Published: 2025
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author Bainbridge, Avery
Khan, Rizwanur
Tang, Ze Sen
author_facet Bainbridge, Avery
Khan, Rizwanur
Tang, Ze Sen
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2501_15075
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On moments of L-functions over Dirichlet characters
Bainbridge, Avery
Khan, Rizwanur
Tang, Ze Sen
Number Theory
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.
title On moments of L-functions over Dirichlet characters
topic Number Theory
url https://arxiv.org/abs/2501.15075