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Proof of the Riemann Hypothesis (2201.06601v2)
Published 17 Jan 2022 in math.GM
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.