Solution de l'Hypoth\`ese de Riemann

Abdelmajid Ben Hadj Salem

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arXiv · 1703.05319

Solution de l'Hypoth\`ese de Riemann

Abdelmajid Ben Hadj Salem

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Abstract

In 1859, Riemann had announced the following conjecture : the nontrivial roots (zeros) $s=\alpha+i\beta$ of the zeta function, defined by: $$\zeta(s) =\displaystyle \sum_{n=1}^{+\infty}\frac{1}{n^s},\,\mbox{for}\quad \Re(s)>1$$ have real part $\alpha= \displaystyle \frac{1}{2}$. We give a proof that $\alpha= \displaystyle \frac{1}{2}$ using an equivalent statement of Riemann Hypothesis.

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Abdelmajid Ben Hadj Salem. 2017-03-15. Solution de l'Hypoth\`ese de Riemann. https://arxiv.org/abs/1703.05319

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