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arXiv · 2201.06601

Proof of the Riemann Hypothesis

Björn Tegetmeyer
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Abstract

The Riemann hypothesis, stating that the real part of all non-trivial zero points fo the zeta function must be $\frac{1}{2}$, 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 $\zeta(s)=\frac{s}{s-1}-s\int_{1}^{\infty}\frac{x-\lfloor x\rfloor}{x^{s+1}}\,\text{d}x$ and solving the integral for the real part of the zeta function.

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Björn Tegetmeyer. 2022-01-17. Proof of the Riemann Hypothesis. https://arxiv.org/abs/2201.06601

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