Sufficient and equivalent criteria for the Riemann Hypothesis

TL;DR

This paper introduces new sufficient and equivalent criteria for the Riemann Hypothesis, expanding the understanding of conditions under which the hypothesis holds, and discusses related properties of the zeta function.

Contribution

It provides novel sufficient and equivalent conditions for the Riemann Hypothesis, enriching the theoretical landscape of this longstanding problem.

Findings

New sufficient conditions for the Riemann Hypothesis

New equivalent criteria for the Riemann Hypothesis

Additional statements about the zeta function

Abstract

The paper presents several new sufficient conditions, as well as new equivalent criteria for the classical Riemann Hypothesis. Noteworthy are also other statements and remarks about $\zeta$ to be found throughout the paper.