21. Riemanns Hypothesis Text - Physics Forums Library More reading can be found on Wikipedia (http//en.wikipedia. org/wiki/riemann_hypothesis). Then you get stuff like http//en.wikipedia.org/wiki/Euler% http://www.physicsforums.com/archive/index.php/t-199593.html

Physics Help and Math Help - Physics Forums Mathematics Number Theory PDA View Full Version : Riemanns hypothesis can anyone explain to me thoroughly the riemanns hypothesis...i dont understand it. This was posted as an off topic reply to another thread. I think it was meant to be a new thread so here it is. CRGreathouse Günter Reimann's hypothesis was that the Nazi control of the economy leading up to and through the war hurt the German economy by excessive regulation and control of intellectual property and activity. mathwonk gauss gave an estimate of the number of primes less than a given integer. riemann observed that gauss' estimate was vastly too large, as it included also all squares and cubes and 4th powers etc...of primes, so he tried to correct the estimate. his assertion gave an estimate based on the assumption, which he tried to prove, that all zeroes of the zeta function have imaginaary part = 1/2. aparently this remains unproved. please read riemann's own paper on the topic, instead of inquiring of relative imbeciles (compared to riemann) here. CRGreathouse Ah, Bernhard Riemann's hypothesis. In that case see the original paper (plus translation) mathwonk mentions here:

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23. Math: Number Theory: Analytic: Riemann Hypothesis: Page 2 http//www.claymath.org/Millennium_Prize_Problems/riemann_hypothesis/. The Riemann Hypothesis Some of the conjectures and open problems concerning RH, http://www.spacetransportation.org/Math/Number_Theory/Analytic/Riemann_Hypothesi

Math: Number Theory: Analytic: Riemann Hypothesis: Page 2 Home Add Url About Us Contact Us ... Riemann Hypothesis : Page 2 Advertising Links Riemann Hypothesis Article with links to other resources from MathWorld. http://mathworld.wolfram.com/RiemannHypothesis.html The Riemann Hypothesis A short article by Kimon Spiliopoulos. http://users.forthnet.gr/ath/kimon/Riemann/Riemann.htm The Riemann Hypothesis A short article with some grahpical and numerical evidence in the critical strip. http://www.mathpuzzle.com/riemann.html Riemann Hypothesis in a Nutshell An article by Glen Pugh with a Java applet for viewing zeta on the critical line. http://www.math.ubc.ca/~pugh/RiemannZeta/ The Riemann Hypothesis Description of the problem and the million dollar prize offered by the Clay Institute. http://www.claymath.org/prize_problems/riemann.htm Zetagrid Numerical verification of the Riemann Hypothesis by a collaborative computing effort, with downloadable software. http://www.zetagrid.net/ The Riemann Hypothesis Article by Enrico Bombieri (PDF) and video by Jeff Vaaler (.ram) from the Clay Mathematics Institute. http://www.claymath.org/Millennium_Prize_Problems/Riemann_Hypothesis/

24. Virtek Directory :: Science : Math : Number Theory : Analytic : Riemann Hypothes Back to the top page of the Virtek directory. Search. Top Science Math Number_Theory Analytic riemann_hypothesis http://directory.virtek.com/Directory/Science/Math/Number_Theory/Analytic/Rieman

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25. CiteULike: Fractal Geometry, Complex Dimensions And Zeta Functions: Geometry And /P } KW fractal_geometry KW - fractal_strings KW - riemann_hypothesis KW - zeta_functions AU - Lapidus, Michel AU - van Frankenhuijsen, http://www.citeulike.org/user/NitinCR/article/2458460

Register Log in FAQ Sponsored link CiteULike News CiteGeist Discussion Journals Browse current issues Groups Search groups CiteULike is a free online bibliography manager. Register and you can start organising your references online. Library Groups Watchlist Profile ... Export Fractal Geometry, Complex Dimensions and Zeta Functions: Geometry and Spectra of Fractal Strings (Springer Monographs in Mathematics) by: Michel L Lapidus , Machiel van Frankenhuijsen (10 August 2006) Plain ACS - American Chemical Society APA - American Psychological Association CBE - Council of Biology Editors Chicago Elsevier Harvard IEEE JAMA - Journal of American Medical Association MLA - Modern Language Association Nature Oxford Science Turabian Vancouver View FullText article Amazon Canada Amazon Germany Amazon France Amazon UK ... Amazon US Reviews [Write a review of this article] There are no reviews of this article Find related articles from these CiteULike users NitinCR Find related articles with these CiteULike tags Abstract BibTeX record RIS record RIS BibTeX NitinCR's tags All tags in NitinCR's library Filter: 2-spinors 3-manifolds 4-manifolds abel ... zeta-functions clexpand_to_cookie("pdf"); clexpand_to_cookie("priority"); clexpand_to_cookie("privacy"); clexpand_to_cookie("privacy"); clexpand_to_cookie("vnotes"); clexpand_to_cookie("notes"); clexpand_to_cookie("posters"); clexpand_to_cookie("notes"); clexpand_to_cookie("tags"); clexpand_to_cookie("abstract"); clexpand_to_cookie("bibtex"); clexpand_to_cookie("ris");

26. Webkatalog Science Math Number_Theory Analytic Riemann_Hypothesis Top Science Math Number_Theory Analytic riemann_hypothesis. See also. Science Math Number Theory Open Problems (46) http://www.blz-suchen.de/odp/Science/Math/Number_Theory/Analytic/Riemann_Hypothe

Home BLZ-Suche / BIC-Suche Sofort Kredit Katalog ... Analytic See also: Science: Math: Number Theory: Open Problems 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). The Music of the Primes - A popular article by Marcus du Sautoy on the Riemann Hypothesis; Science Spectra, Issue 11. Papers on Zeros of the Riemann Zeta Function - By Andrew Odlyzko. Proof of Riemann's Hypothesis - A claimed proof of Riemann's Hypothesis. Riemann Hypothesis - Article with links to other resources from MathWorld. The Riemann Hypothesis - Some of the conjectures and open problems concerning RH, compiled by the AIM. The Riemann Hypothesis - A prime pages article by Chris K. Caldwell. The Riemann Hypothesis - A short article with some grahpical and numerical evidence in the critical strip.

27. Katalog DMOZ Science Math Number Theory Analytic Riemann Article by Enrico Bombieri (PDF) and video by Jeff Vaaler (.ram) from the Clay Mathematics Institute. http//www.claymath.org/millennium/riemann_hypothesis/ http://dmoz.point93.pl/index.php?c=Science/Math/Number_Theory/Analytic/Riemann_H

28. Katalog Stron : Science : Math : Number Theory : Analytic : Riemann Hypothesis http//www.claymath.org/millennium/riemann_hypothesis/. A short article by Kimon Spiliopoulos. http//users.forthnet.gr/ath/kimon/Riemann/Riemann.htm http://drabiny.net.pl/dmoz/index.php?c=Science/Math/Number_Theory/Analytic/Riema

29. Open Directory Project > Science> Math> Number Theory> Analytic> Riemann Hypothe Open Directory Project. Search. the entire directory, only in Analytic/riemann_hypothesis. Top Science Math Number_Theory Analytic riemann_hypothesis http://dmoz.w.activ.pl/Science/Math/Number_Theory/Analytic/Riemann_Hypothesis/

Open Directory Project Search: the entire directory only in Analytic/Riemann_Hypothesis Top Science Math Analytic See also: Science: Math: Number Theory: Open Problems 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). The Music of the Primes - A popular article by Marcus du Sautoy on the Riemann Hypothesis; Science Spectra, Issue 11. Papers on Zeros of the Riemann Zeta Function - By Andrew Odlyzko. Poem about the Riemann Zeta Function - A mathematical hyper-poem. Proof of Riemann's Hypothesis - A claimed proof of Riemann's Hypothesis. Riemann Hypothesis - Article with links to other resources from MathWorld. The Riemann Hypothesis - A short article by Kimon Spiliopoulos. The Riemann Hypothesis - Web article by Aldo Peretti.

30. The Riemann Hypothesis Has Been Proved Wrong! [Archive] - JREF Forum Now, according to the sites (http//www.claymath. org/millennium/riemann_hypothesis/riemann.pdf), the trivial solutions to this problem are given by choosing http://forums.randi.org/archive/index.php/t-88255.html

JREF Forum General Topics Science, Mathematics, Medicine, and Technology PDA View Full Version : The Riemann hypothesis has been proved wrong! becomingagodo 26th July 2007, 04:57 AM Oh yeah, is anyone near solving the Riemann hypothesis, I heard about someone trying to use quantum mechanics to prove it correct, however that was like in 80's. How close do you think mathematician are to proving or disproving it? Ten years, twenty, fifty. I couldn't understand why some mathematician are crazy about prime numbers, however hearing about the Riemann hypothesis and how hard it, made me understand. Also it would be really cool if the Riemann hypothesis was wrong. TobiasTheCommie 26th July 2007, 05:13 AM Ehm, are you just rambling? or do you actually claim that it has been proved wrong.. Because all i see you saying is "it hasn't been proved yet, if it could be proved it would have been proved" which is just bollocks... Katana 26th July 2007, 05:18 AM This thread's title and the OP seem mismatched. Molinaro 26th July 2007, 05:29 AM

31. Riemann Hypothesis - AoPSWiki Retrieved from http//www.artofproblemsolving.com/Wiki/index.php/riemann_hypothesis . Categories Articles that need to be wikified Number theory http://www.artofproblemsolving.com/Wiki/index.php/Riemann_Hypothesis

AoPSWiki Looking for a challenging algebra text? Preparing for MATHCOUNTS or the AMC exams? Check out Art of Problem Solving's Introduction to Algebra by Richard Rusczyk. Page Discussion View source History Personal tools Log in / create account Navigation Main Page Community portal Current events Recent changes ... Donations Search Toolbox What links here Related changes Upload file Special pages ... Permanent link Riemann Hypothesis From AoPSWiki The Riemann Hypothesis is a well-known conjecture in analytic number theory that states that all nontrivial zeros of the Riemann zeta function have real part . From the functional equation for the zeta function, it is easy to see that when . These are called the trivial zeros. This hypothesis is one of the seven millenium questions The Riemann Hypothesis is an important problem in the study of prime numbers. Let denote the number of primes less than or equal to x , and let . Then an equivalent statement of the Riemann hypothesis is that One fairly obvious try to prove the Riemann Hypothesis (which unfortunately doesn't work) is to consider the reciprocal of the zeta function

32. Riemann Hypothesis - AoPSWiki Retrieved from http//www.mathlinks.ro/Wiki/index.php/riemann_hypothesis . Categories Articles that need to be wikified Number theory http://www.mathlinks.ro/Wiki/index.php/Riemann_Hypothesis

Home Art of Problem Solving WOOT! Books ... Log in Riemann Hypothesis From AoPSWiki The Riemann Hypothesis is a well-known conjecture in analytic number theory that states that all nontrivial zeros of the Riemann zeta function have real part . From the functional equation for the zeta function, it is easy to see that when . These are called the trivial zeros. This hypothesis is one of the seven millenium questions The Riemann Hypothesis is an important problem in the study of prime numbers. Let denote the number of primes less than or equal to x , and let . Then an equivalent statement of the Riemann hypothesis is that One fairly obvious try to prove the Riemann Hypothesis (which unfortunately doesn't work) is to consider the reciprocal of the zeta function, , where refers to the M¶bius function . Then one might try to show that admits an analytic continuation to . Let be the Mertens function . It is easy to show that if for sufficiently large , then the Riemann Hypothesis would hold. However, A. M. Odlyzko and H. J. J. te Riele showed that this conjecture is in fact false. The Riemann Hypothesis would also follow if for any constant ; however, this is believed to be false as well.

33. Riemann Hypothesis - Conservapedia edit References. http//www.claymath.org/millennium/. Retrieved from http//www.conservapedia.com/riemann_hypothesis . Category Complex analysis http://www.conservapedia.com/Riemann_hypothesis

Riemann hypothesis From Conservapedia Jump to: navigation search Riemann hypothesis states that the non-trivial zeros of the Riemann Zeta function function all have real component . The conjecture was first proposed by Bernhard Riemann in 1859 and is considered by many to be one of the greatest unsolved problems in mathematics. The problem was listed as one of the seven Millenium problems by the Clay Mathematics Institute and there is a million dollar prize for its solution. edit References http://www.claymath.org/millennium/ Retrieved from " http://www.conservapedia.com/Riemann_hypothesis Category Complex analysis Views Article talk page Edit History Personal tools Log in / create account master control Main Page Educational Index Debate Topics Recent changes ... Random page Help Help Index Desk Statistics Conservapedia Commandments Supreme Court Course Info and Enrollment Supreme Court Project Lectures Search edit console What links here Related changes Upload file Special pages ... Permanent link This page was last modified 17:29, 11 December 2007. This page has been accessed 332 times.

34. Athenus - The Engineering And Science Search Engine : Home search the entire directory, search this category only. Top Science Math Number_Theory Analytic riemann_hypothesis http://www.athenus.com/directory/index.php?c=/Science/Math/Number_Theory/Analyti

35. Riemann Hypothesis - Indopedia, The Indological Knowledgebase Retrieved from http//www.indopedia.org/riemann_hypothesis.html . This page has been accessed 2554 times. This page was last modified 2245, 18 Nov 2004 by http://www.indopedia.org/Riemann_hypothesis.html

Indopedia Main Page FORUM Help ... Log in The Indology CMS In other languages: Deutsch Categories Analytic number theory Conjectures ... Wikipedia Article Riemann hypothesis ज्ञानकोश: - The Indological Knowledgebase The Riemann hypothesis , first formulated by Bernhard Riemann in , is a conjecture about the distribution of the zeros of s . It is one of the most important open problems of contemporary mathematics ; a $1,000,000 prize has been offered by the Clay Mathematics Institute for a proof. Most mathematicians believe the Riemann hypothesis to be true. ( J. E. Littlewood and Atle Selberg have been reported as skeptical.) s ) is defined for all complex numbers s s s s The real part of any non-trivial zero of the Riemann zeta function is 1/2. Thus the non-trivial zeros should lie on the so-called critical line it with t a real number and i the imaginary unit In 2004, Xavier Gourdon verified the Riemann Hypothesis through the first ten trillion non-trivial zeros using the Odlyzko-Schönhage algorithm Contents showTocToggle("show","hide") 1 History 2 The Riemann hypothesis and primes 3 Practical Uses of the Riemann hypothesis 4 A possible proof of the Riemann hypothesis ... edit History Riemann mentioned the conjecture that became known as the Riemann hypothesis in his 1859 paper On the Number of Primes Less Than a Given Magnitude , but as it was not essential to his central purpose in that paper, he did not attempt a proof. Riemann knew that the non-trival zeros of the zeta function were symmetrically distributed about the line

36. Math: Number Theory: Analytic: Riemann Hypothesis - Category For Math/Number The http//www.claymath.org/millennium/riemann_hypothesis/ Article by Enrico Bombieri (PDF) and video by Jeff Vaaler (.ram) from the Clay Mathematics Institute. http://www.atomseek.com/Math/Number_Theory/Analytic/Riemann_Hypothesis/index.htm

Math: Number Theory: Analytic: Riemann Hypothesis the entire directory only this category Advanced Search Home Math Number Theory ... Analytic : Riemann Hypothesis LINKS: Computation of Zeros of the Zeta Function http://numbers.computation.free.fr/Constants/Miscellaneous/zetazeroscompute.html 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 http://www.coolissues.com/mathematics/Zeta/zeta.htm Generalisations of the zeta function might provide a proof of Riemann's hypothesis. Louis de Branges de Bourcia http://www.math.purdue.edu/~branges/ Purdue University. Proposed solution for the Riemann Hypothesis (pdf format). Papers on Zeros of the Riemann Zeta Function http://www.dtc.umn.edu/~odlyzko/doc/zeta.html By Andrew Odlyzko. Proof of Riemann's Hypothesis http://www.coolissues.com/mathematics/Riemann/riemann.htm A claimed proof of Riemann's Hypothesis. Riemann Hypothesis http://www.oa.uj.edu.pl/~maslanka/zeros.html A short article by Krzysztof Maslanka with numerical examples and graphics. Riemann Hypothesis http://mathworld.wolfram.com/RiemannHypothesis.html

37. 2006-05-18 Wikipedia/Álvaro_Colom Álvaro Colom Caballeros (born 15 Binary_numeral_system. name. Hexadecimal. name. Divisor_function. name. EulerMascheroni_constant. name. If_and_only_if. name. riemann_hypothesis. name http://www.alvis.info/alvis_docs/wp_18052006/924.xml.gz

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40. Riemann Hypothesis - Wikipedia, The Free Encyclopedia Retrieved from http//en.wikipedia.org/wiki/riemann_hypothesis . Categories All articles with unsourced statements Articles with unsourced statements http://www.theproxy.be/nph-proxy922961.cgi/001110A/http/en.wikipedia.org/wiki/Ri

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