Significance of Zeros and Gram Points in Approximating and Discovering Zeros of Dirichlet L-functions

TL;DR

This paper introduces a numerical approach leveraging zeros and Gram points to improve the approximation and discovery of zeros of Dirichlet L-functions, aiding in understanding their distribution.

Contribution

It presents a novel numerical method utilizing zeros and Gram points specifically for Dirichlet L-functions with real characters.

Findings

Effective approximation of zeros demonstrated

Enhanced zero discovery accuracy shown

Method applicable to various Dirichlet L-functions

Abstract

We propose a numerical method for approximating and discovering zeros of the Dirichlet L-function L(s, chi) corresponding to real Dirichlet characters chi.