Open Problem Garden - The Riemann Hypothesis - Comments

This supposed proof is incorrect (re: The Riemann Hypothesis)

eric — Sat, 26 Jan 2013 23:37:05 +0100

Dear Zeraoulia Elhadj,

The proof detailed in http://arxiv.org/pdf/1210.1517v10.pdf is wrong since eq. 9 (alpha=1/2) cannot be deduced at all from eq. (8), hence invalidating the whole proof.

To make a more general comment, I don't think this section should be used to propose attempts of a proof, but only a fully validated proof if there's one some day (and I hope so). There are indeed numerous invalid proofs every year for this mathematical problem, and regular forums are much more adapted to discuss on these attempts. This site is much more a collection of open mathematical problems with their current status and would be rapidly obfuscated by long standing discussions about various attempts of proof on each problem... Of course I'm not the webmaster of the site and he may confirm or contradict this personal opinion

Regards, Eric Chopin

A positive answer to the Riemann hypothesis: A new result predic (re: The Riemann Hypothesis)

zeraoulia — Thu, 27 Dec 2012 15:06:25 +0100

Dear Prof,

I am Prof. Zeraoulia Elhadj from the university of Tébessa, Algeria. Please see this link http://vixra.org/pdf/1210.0176v7.pdf http://arxiv.org/pdf/1210.1517v10.pdf

for a Solution of the Riemann Hypothesis: A positive answer to the Riemann hypothesis: A new result predicting the location of zeros. I think that this is a fine solution. Please let me know about your opinion on it. I think that your opinion is the final decison to accept or reject this solution. Any furhter comments are welcome. With kind regards. Elhadj

Proposed (dis)proof of RH (re: The Riemann Hypothesis)

Comet — Wed, 16 Feb 2011 08:42:39 +0100

A collection of (dis)proofs of the Riemann Hypothesis can be found at http://empslocal.ex.ac.uk/people/staff/mrwatkin/zeta/RHproofs.htm . Many of them have been refuted, but some of them show approaches that do not seem to have been answered. There reader interested in RH may find the aforementioned page and its pointers to papers quite interesting.

P.S. My former e-mail address comet@bayvax.decus.org is obsolete.

Post initialy placed in the Analysis Category (re: The Riemann Hypothesis)

eric — Thu, 10 Jul 2008 00:33:54 +0200

Being the author of this post, please note that this item was initialy placed under the Analysis category on this website, because as for me in its very first statement it falls under this category. The editor of the site decided to move it under "Number Theory" because a lot of mathematicians think that the problem is intrinsincally related to number theory. Even though they represent the majority, and numerous links between this problem and Number Theory are well established, this is not my opinion. There are lot of ways to approach this problem, sometimes completely unrelated to number theory, and if I were to locate this entry into a mathematical domain that is best suited for a direct proof of the Riemann Hypothesis, I would have located it under Group Theory\Representation Theory. But it is only the opinion of an amateur in mathematics...

Rgds, eric

The Riemann Hypothesis

eric — Thu, 13 Sep 2007 00:46:03 +0200

Author(s): Riemann

Subject: Number Theory » Analytic N.T.

The zeroes of the Riemann zeta function that are inside the Critical Strip (i.e. the vertical strip of the complex plane where the real part of the complex variable is in ]0;1[), are actually located on the Critical line ( the vertical line of the complex plane with real part equal to 1/2)