On the complex zeros of the Riemann Zeta-function

TL;DR

This paper demonstrates that proving the Quasi-Riemann Hypothesis for the Zeta-function would imply the truth of the Riemann Hypothesis, establishing a conditional link between the two conjectures.

Contribution

It introduces a new conditional approach showing the Quasi-Riemann Hypothesis implies the Riemann Hypothesis, offering a potential pathway to resolve the latter.

Findings

Quasi-Riemann Hypothesis implies Riemann Hypothesis

Establishes a conditional equivalence between the two hypotheses

Provides a new perspective on the zeros of the Zeta-function

Abstract

The purpose of this paper is to prove that the so-called Quasi-Riemann Hypothesis for the Zeta-function implies the Riemann Hypothesis