## A Solution of Riemann Hypothesis

**Authors:** Abdelmajid Ben Hadj Salem

In 1898, Georg Friedrich Bernhard Riemann had announced the following conjecture, called Riemann Hypothesis : The nontrivial roots (zeros) s=\sigma+it of the zeta function, defined by:
\zeta(s) = \sum_{n=1}^{+\infty}\frac{1}{n^s},\,for \Re(s)>1
have real part \sigma= \frac{1}{2}.
We give a proof that \sigma= \frac{1}{2} using an equivalent statement of Riemann Hypothesis.

**Comments:** 7 Pages. In French. Submitted to Journal Annales Scientifiques de l'Ecole Normale Supérieure. Comments welcome.

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### Submission history

[v1] 2017-03-31 11:38:22

[v2] 2017-06-22 07:22:56

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