| viXra.org > Number Theory > viXra:2605.0072 |
 |
 |
| viXra.org > Number Theory > viXra:2605.0072 |
|
|
Number Theory |
|
Authors: Abdelmajid Ben Hadj Salem
In 1859, 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: $$zeta(s) = sum_{n=1}^{+infty}frac{1}{n^s},,mbox{for}quad Re(s)>1$$ have real part} $sigma= frac{1}{2}$. In this note, I give the proof that $sigma= frac{1}{2}$ using an equivalent statement of the Riemann Hypothesis: the Dirichlet eta function.
Comments: 10 Pages. In French, submitted to the journal " Bulletin des Sciences Mathématiques "comments welcome.
Download: PDF
[v1] 2026-05-17 21:54:36
Unique-IP document downloads: 0 times
Vixra.org 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. Vixra.org 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.
| Third-Party Links: |
|