Fundamental Domains and Analytic Continuation of General Dirichlet Series

TL;DR

This paper investigates the fundamental domains of functions defined by general Dirichlet series and explores their implications for the Great Riemann Hypothesis using conformal mapping techniques.

Contribution

It introduces a method to identify fundamental domains for general Dirichlet series functions and applies conformal mapping to study the Riemann Hypothesis.

Findings

Fundamental domains are characterized for these functions.

Conformal mapping techniques provide new insights into the Riemann Hypothesis.

Potential progress towards understanding the hypothesis through domain analysis.

Abstract

Fundamental domains are found for functions defined by general Dirichlet series and using basic properties of conformal mappings the Great Riemann Hypothesis is studied.