Proof of the Riemann Hypothesis

2022/01/17 by Tegetmeyer, Björn
#FOS: Mathematics #General Mathematics (math.GM)

paper · doi:10.48550/arxiv.2201.06601

Abstract

The Riemann hypothesis, stating that the real part of all non-trivial zero points fo the zeta function must be (1)/(2), is one of the most important unproven hypothesises in number theory. In this paper we will proof the Riemann hypothesis by using the integral representation ζ(s)=(s)/(s-1)-s∫₁^∞\fracx-\lfloor x\rfloorx^s+1 dx and solving the integral for the real part of the zeta function.

Related

• A Simple Proof of the Riemann Hypothesis
• The Riemann Hypothesis and the possible proof
• The Riemann Hypothesis
• Proof of Riemann's zeta-hypothesis
• The Riemann Hypothesis