A Proof Of The Riemann Hypothesis
Abstract: We consider the alternating Riemann zeta function $\zeta*(s)= \sum{\infty} _{ n=1} \frac{(-1){n-1}}{ns}$, 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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