Some new density theorems for Dirichlet L-functions

TL;DR

This paper introduces new, sharper density theorems for zeros of Dirichlet L-functions, improving understanding of their distribution near the critical line and aiding prime number theory applications.

Contribution

It presents novel log-free density theorems for Dirichlet L-functions' zeros, enhancing previous bounds and applicability in prime number problems.

Findings

More precise zero density estimates near the critical line

Improved bounds compared to earlier theorems

Applications to prime number theory problems

Abstract

We prove some new log-free density theorems for zeros of Dirichlet L-functions (which accordingly are more sharp than earlier ones near to the boundary line of the critical strip). The results can be applied in several problems of prime number theory.