English

Zero-Density Theorems for Families of Dirichlet $L$-functions

Number Theory 2023-09-12 v1

Abstract

In this paper, we prove some zero density theorems for certain families of Dirichlet LL-functions. More specifically, the subjects of our interest are the collections of Dirichlet LL-functions associated with characters to moduli from certain sparse sets and of certain fixed orders.

Keywords

Cite

@article{arxiv.2211.00260,
  title  = {Zero-Density Theorems for Families of Dirichlet $L$-functions},
  author = {C. C. Corrigan and L. Zhao},
  journal= {arXiv preprint arXiv:2211.00260},
  year   = {2023}
}