Fundamental Domains and Analytic Continuation of General Dirichlet Series
Dorin Ghisa, Les Ferry

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.
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Taxonomy
TopicsMeromorphic and Entire Functions · Analytic and geometric function theory · Algebraic and Geometric Analysis
