Work

Distribution of Dirichlet $L$-functions

Year: 2022

Type: preprint

Abstract: In this article, we study the distribution of values of Dirichlet $L$-functions, the distribution of values of the random models for Dirichlet $L$-functions, and the discrepancy between these two kinds of distributions. For each question, we consider the cases of $\frac12<\RE s<1$ and $\RE s=1$ separately.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2209.11059

Authors: Dong, Zikang, Wang, Weijia, Zhang, Hao

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Fundamental Research Funds for the Central Universities

Award: G4528900933

OpenAlex ID: W4296959571

Cites:

Cited by: 1

Related to: 10