Number Theory


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.

Download: PDF

Submission history

[v1] 2017-03-31 11:38:22
[v2] 2017-06-22 07:22:56

Unique-IP document downloads: 138 times is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus