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In mathematics, the Riemann hypothesis (also called the Riemann zeta-hypothesis), first formulated by Bernhard Riemann in 1859, is one of the most famous unsolved problems. It has been an open question for well over a century, despite attracting concentrated efforts from many outstanding mathematicians. Unlike some other celebrated problems, it is more attractive to professionals in the field than to amateurs.
The Riemann hypothesis is a conjecture about the distribution of the zeros of the Riemann zeta-function ζ(s). The Riemann zeta-function is defined for all complex numbers s ≠ 1. It has zeros at the negative even integers (i.e. at s = −2, s = −4, s = −6, ...). These are called the trivial zeros. The Riemann hypothesis is concerned with the non-trivial zeros, and states that:
- The real part of any non-trivial zero of the Riemann zeta function is ½.
Open Problems :: Number Theory
A video on Prime Numbers The Riemann Hypothesis: http://www.youtube.com/watch?v=MsBUTuYI62k
Ray_on_the_Gulf (Ray U) Tue, 15 Dec 2009 12:47:11 -0000
A video on Prime Numbers The Riemann Hypothesis: http://www.youtube.com/watch?v=MsBUTuYI62k
now comes the Riemann Hypothesis Brothers â« http://blip.fm/~httsj
pantaloon (muchos pantaloons) Tue, 15 Dec 2009 10:26:23 -0000
now comes the Riemann Hypothesis Brothers ♫ http://blip.fm/~httsj
now comes the Riemann Hypothesis Brothers â« http://blip.fm/~httsj
i0akaten (akaten freak) Tue, 15 Dec 2009 10:26:23 -0000
now comes the Riemann Hypothesis Brothers ♫ http://blip.fm/~httsj
2009 is the 150th anniversary of publication of the yet unsolved Riemann hypothesis. http://bit.ly/WCVLa
harishjprabhu (Harish Prabhu) Tue, 15 Dec 2009 06:06:32 -0000
2009 is the 150th anniversary of publication of the yet unsolved Riemann hypothesis. http://bit.ly/WCVLa
Long night tonight. I'm gonna prove string theory one way or the other, disprove the Riemann Hypothesis and then do operating systems lab 3.
Mindez (Daniel Lyon) Sun, 13 Dec 2009 23:59:52 -0000
Long night tonight. I'm gonna prove string theory one way or the other, disprove the Riemann Hypothesis and then do operating systems lab 3.
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Computation of Zeros of the Zeta Function - Verification of RH up to the 10^13-th zero, with details of the computations and further results, by Xavier Gourdon with the help of Patrick Demichel.
Easy Proof of Riemann's Hypothesis - Generalisations of the zeta function might provide a proof of Riemann's hypothesis.
Louis de Branges de Bourcia - Purdue University. Proposed solution for the Riemann Hypothesis (pdf format).
Papers on Zeros of the Riemann Zeta Function - By Andrew Odlyzko.
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Poem about the Riemann Zeta Function - A mathematical hyper-poem.
Meta Description: [ A poem by Tom Apostol about the Riemann zeta function. ]
Proof of Riemann's Hypothesis - A claimed proof of Riemann's Hypothesis.
Riemann Hypothesis - Article with links to other resources from MathWorld.
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Riemann Hypothesis in a Nutshell - An article by Glen Pugh with a Java applet for viewing zeta on the critical line.
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Riemann's Hypothesis - A beginners guide by Jon Perry.
The Music of the Primes - A popular article by Marcus du Sautoy on the Riemann Hypothesis; Science Spectra, Issue 11.
The Riemann Hypothesis - Notes by Steven Finch.
Meta Description: [ This website aims to show that there are many constants in mathematics other than just e and pi! ]
The Riemann Hypothesis - A prime pages article by Chris K. Caldwell.
Meta Description: [ Here we define, then discuss the Riemann hypothesis. We provide several related links., Another page about Prime Numbers and related topics. ]
The Riemann Hypothesis - A short article by Kimon Spiliopoulos.
The Riemann Hypothesis - A short article with some grahpical and numerical evidence in the critical strip.
The Riemann Hypothesis - Some of the conjectures and open problems concerning RH, compiled by the AIM.
The Riemann Hypothesis - Article by Enrico Bombieri (PDF) and video by Jeff Vaaler (.ram) from the Clay Mathematics Institute.
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The Riemann Hypothesis - Web article by Aldo Peretti.
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Zeta Functions and the Riemann Hypothesis - Resources collected by Chris Hughes.
Meta Description: [ A page of mathematical links. ]
Zetagrid - Numerical verification of the Riemann Hypothesis by a collaborative computing effort, with downloadable software.
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