## A Solution of Riemann Hypothesis

**Authors:** Abdelmajid Ben Hadj Salem

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

**Comments:** 9 Pages. In French. Submitted to the International Journal of Number Theory. Comments welcome.

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### Submission history

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

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