A Connection between the Riemann Hypothesis and Uniqueness of the Riemann zeta function

TL;DR

This paper explores the relationship between the Riemann hypothesis and the uniqueness properties of the Riemann zeta function and related L-functions, aiming to shed light on one of mathematics' most famous conjectures.

Contribution

It establishes a novel connection between the Riemann hypothesis and the uniqueness of the zeta function and L-functions, providing new insights into their properties.

Findings

Link established between Riemann hypothesis and zeta function uniqueness

Analogue for L-functions proposed and analyzed

Potential implications for understanding the Riemann hypothesis

Abstract

In this paper, we give a connection between the Riemann hypothesis and uniqueness of the Riemann zeta function and an analogue for L-functions.