A Proof Of The Riemann Hypothesis

Mingchun Xu

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arXiv · 1402.5952

A Proof Of The Riemann Hypothesis

Mingchun Xu

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Abstract

We consider the alternating Riemann zeta function $\zeta^*(s)= \sum^{\infty} _{ n=1} \frac{(-1)^{n-1}}{n^s}$, which converges if $Re (s)>0 .$ By using Rouche's theorem, the Bolzano-Weierstrass theorem and by method of contradiction we complete the proof of the Riemann Hypothesis.

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Mingchun Xu. 2014-02-24. A Proof Of The Riemann Hypothesis. https://arxiv.org/abs/1402.5952

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