Weighted first moments of some special quadratic Dirichlet $L$-functions
Number Theory
2020-01-01 v3
Abstract
In this paper, we obtain asymptotic formulas for weighted first moments of central values of families of primitive quadratic Dirichlet -functions whose conductors comprise only primes that split in a given quadratic number field. We then deduce a non-vanishing result of these -functions at the point .
Keywords
Cite
@article{arxiv.1802.03896,
title = {Weighted first moments of some special quadratic Dirichlet $L$-functions},
author = {Peng Gao and Liangyi Zhao},
journal= {arXiv preprint arXiv:1802.03896},
year = {2020}
}
Comments
7 pages