Multiple Solutions of Riemann-Type of Functional Equations

TL;DR

This paper investigates the existence of multiple solutions to Riemann-type functional equations for Dirichlet L-functions and explores their implications for the Generalized Riemann Hypothesis.

Contribution

It provides a detailed analysis of solutions to Riemann-type equations and examines their potential impact on understanding the Generalized Riemann Hypothesis.

Findings

Identifies conditions for multiple solutions of Riemann-type equations.

Explores the connection between solutions and non-trivial zeros off the critical line.

Offers insights into the validity of the Generalized Riemann Hypothesis.

Abstract

Linearly independent Dirichlet L-functions satisfying the same Riemann-type of functional equation have been supposed for long time to possess off critical line non trivial zeros. We are taking a closer look into this problem and into its connection with the Generalized Riemann Hypothesis