Twisted first moment of central values of primitive quadratic Dirichlet $L$-functions
Number Theory
2025-06-04 v2
Abstract
We evaluate the twisted first moment of central values of the family of primitive quadratic Dirichlet -functions using the method of double Dirichlet series together with a recursive argument. Our main result is an asymptotic formula with an error term of size that is the square root of that of the main term.
Keywords
Cite
@article{arxiv.2405.15980,
title = {Twisted first moment of central values of primitive quadratic Dirichlet $L$-functions},
author = {Peng Gao and Liangyi Zhao},
journal= {arXiv preprint arXiv:2405.15980},
year = {2025}
}