Weighted one-level density of low-lying zeros of Dirichlet $L$-functions
Number Theory
2022-10-07 v2
Abstract
In this paper, we compute the one-level density of low-lying zeros of Dirichlet -functions in a family weighted by special values of Dirichlet -functions at a fixed . We verify both Fazzari's conjecture and the first author's conjecture on the weighted one-level density for our family of -functions.
Keywords
Cite
@article{arxiv.2201.00326,
title = {Weighted one-level density of low-lying zeros of Dirichlet $L$-functions},
author = {Shingo Sugiyama and Ade Irma Suriajaya},
journal= {arXiv preprint arXiv:2201.00326},
year = {2022}
}
Comments
The support conditions in main theorems are improved. Remark 3.5 is added