On moments of L-functions over Dirichlet characters
Number Theory
2025-09-24 v2
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.
Cite
@article{arxiv.2501.15075,
title = {On moments of L-functions over Dirichlet characters},
author = {Avery Bainbridge and Rizwanur Khan and Ze Sen Tang},
journal= {arXiv preprint arXiv:2501.15075},
year = {2025}
}