An explicit Vinogradov-Korobov zero-free region for Dirichlet L-functions

TL;DR

This paper provides the first explicit description of a zero-free region for Dirichlet L-functions based on Vinogradov-Korobov methods, advancing understanding of their zeros.

Contribution

It introduces the first explicit Vinogradov-Korobov zero-free region for Dirichlet L-functions, improving previous qualitative results.

Findings

Explicit zero-free region established for Dirichlet L-functions.

Enhanced bounds on zeros near the critical line.

Improved understanding of L-function zero distribution.

Abstract

We establish the first explicit form of the Vinogradov--Korobov zero-free region for Dirichlet $L$-functions.