41. Not Even Wrong » Blog Archive » Stalking The Riemann Hypothesis While I m no expert on the riemann hypothesis, my favorite idea about it is that My own proposal for the strategy of proving riemann hypothesis is http://www.math.columbia.edu/~woit/blog/archives/000197.html

Not Even Wrong US HEP News Running Scared Stalking the Riemann Hypothesis My friend Dan Rockmore has a new book out, entitled Stalking the Riemann Hypothesis For the number field case, the most developed conjecture that I know of about what might be the right sort of cohomology theory is due to Christopher Deninger . He has a very interesting recent review article about this, see also his lecture at the 1998 ICM article in the Washington Post about Dan and his book. This entry was posted on Sunday, May 22nd, 2005 at 12:26 pm and is filed under Uncategorized . You can follow any responses to this entry through the RSS 2.0 feed. Both comments and pings are currently closed. Anonymous Says: May 22nd, 2005 at 9:25 pm topos theoretic descent theory Tony Smith Says: May 23rd, 2005 at 10:56 am When I compare the Riemann Hypothesis efforts of de Branges with the Fermat efforts of Wiles, a question arises, and I wonder whether it is dealt with in the book by Rockmore. According to a PBS interview at http://www.pbs.org/wgbh/nova/proof/wiles.html

42. Not Even Wrong » Blog Archive » De Branges And The Riemann Hypothesis For more about de Branges and the riemann hypothesis, see the recent popularbook “The riemann hypothesis the Greatest Unsolved Problem of Mathematics” by http://www.math.columbia.edu/~woit/blog/archives/000035.html

Not Even Wrong Bogdanovs Redux Bogdanov Thesis Reports de Branges and the Riemann Hypothesis Louis de Branges is a mathematician at Purdue who has had a long history of claiming proofs of the Riemann hypothesis. His latest claim has lead to a press release from Purdue. The press release points to what seems to be an older manuscript The actual purported proof is here de Branges has a checkered history as a mathematician, with several of his claimed proofs of the Riemann hypothesis and other problems turning out to be incorrect. On the other hand, he did produce a correct proof of one well-known problem, the Bieberbach Conjecture. In that case his initial manuscript was pretty impenetrable, but after he explained his ideas to a group of Russian mathematicians, they gave a more understandable version of the proof and it became clear that de Branges really did have a proof. It looks like this one may also take some major effort to see what he really has. review of this book has some interesting comments about de Branges and his NSF funding. withdrawn the preprint, saying that a serious error has been found.

43. The Music Of The Primes A popular article by Marcus du Sautoy on the riemann hypothesis; Science Spectra, Issue 11. http://www.dpmms.cam.ac.uk/~dusautoy/2soft/music.htm

1.-When the British mathematician Andrew Wiles told the world about his proof of the Last Theorem of the seventeenth century French lawyer, Pierre de Fermat, it looked as if the Holy Grail had been grasped. Fermat's Last Theorem has often been called the greatest unsolved riddle of mathematics. But many mathematicians would argue that this name belongs rather to an idea first put forward in the middle of the nineteenth century by the German mathematician Bernhard Riemann: The Riemann Hypothesis. 2.-PRIME NUMBERS It remains unresolved but, if true, the Riemann Hypothesis will go to the heart of what makes so much of mathematics tick: the prime numbers. These indivisible numbers are the atoms of arithmetic. Every number can be built by multiplying prime numbers together. The primes have fascinated generations of mathematicians and non-mathematicians alike, yet their properties remain deeply mysterious. Whoever proves or disproves the Riemann Hypothesis will discover the key to many of their secrets and this is why it ranks above Fermat as the theorem for whose proof mathematicians would trade their soul with Mephistopheles. 3.-Although the Riemann Hypothesis has never quite caught on in the public imagination as Mathematics' Holy Grail, prime numbers themselves do periodically make headline news. The media love to report on the latest record for the biggest prime number so far discovered. In November 1996 the Great Internet Prime Search announced their discovery of the current record, a prime number with 378,632 digits. But for mathematicians, such news is of only passing interest. Over two thousand years ago Euclid proved that there will be infinitely many such news stories, for the primes never run dry.

44. The Riemann Hypothesis MD5 and SHA0 broken, the riemann hypothesis. http://www.hcrypto.com/A/

45. Recent Developments In Cryptography - Riemann Hypothesis - MD5 Recent Developments in Cryptography Does the proof of the riemann hypothesisreally bring the whole ecommerce to its knees? MD5 and SHA-0 Broken at Crypto http://www.hcrypto.com/

46. Riemann Hypothesis: Information From Answers.com riemann hypothesis In mathematics , the riemann hypothesis (aka Riemann zetahypothesis ), first formulated by Bernhard Riemann in 1859 , is one of. http://www.answers.com/topic/riemann-hypothesis

showHide_TellMeAbout2('false'); Business Entertainment Games Health ... More... On this page: Wikipedia Best of Web Mentioned In Or search: - The Web - Images - News - Blogs - Shopping Riemann hypothesis Wikipedia Riemann hypothesis In mathematics , the Riemann hypothesis (aka Riemann zeta hypothesis ), first formulated by Bernhard Riemann in , is one of the most famous of all 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 s ). The Riemann zeta function 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 . The Riemann zeta function along the critical line is sometimes studied in terms of the Z function , whose real zeros correspond to the zeros of the zeta function on the critical line.

47. Grand Riemann Hypothesis: Information From Answers.com grand riemann hypothesis In mathematics , the grand riemann hypothesis is ageneralisation of the riemann hypothesis and Generalized Riemann. http://www.answers.com/topic/grand-riemann-hypothesis

showHide_TellMeAbout2('false'); Business Entertainment Games Health ... More... On this page: Wikipedia Mentioned In Or search: - The Web - Images - News - Blogs - Shopping grand Riemann hypothesis Wikipedia grand Riemann hypothesis In mathematics , the grand Riemann hypothesis is a generalisation of the Riemann hypothesis and Generalized Riemann hypothesis . It states that the nontrivial zeros of all automorphic L -functions lie on the critical line 1/2 + it with t a real number and i the imaginary unit. The modified grand Riemann hypothesis is the assertion that the nontrivial zeros of all automorphic L -functions lie on the critical line or the real line Notes It is widely believed that all global L -functions are automorphic L -functions. The Siegel zero , conjectured not to exist, is a possible real zero of a Dirichlet L-series , rather near s This entry is from Wikipedia, the leading user-contributed encyclopedia. It may not have been reviewed by professional editors (see Mentioned In grand Riemann hypothesis is mentioned in the following topics: Siegel zero List of conjectures List of mathematical topics (G) List of mathematical topics (G-I) Wikipedia information about grand Riemann hypothesis This article is licensed under the GNU Free Documentation License . It uses material from the Wikipedia article "Grand Riemann hypothesis" More from Wikipedia Your Ad Here Jump to: Wikipedia Mentioned In Or search: - The Web - Images - News - Blogs - Shopping Send this page Print this page Link to this page Tell me about:

48. Ueber Die Anzahl Der Primzahlen Unter Einer Gegebenen Grösse. Riemann s paper includes the celebrated riemann hypothesis . Further informationconcerning the riemann hypothesis is to be found on the following Web pages http://www.maths.tcd.ie/pub/HistMath/People/Riemann/Zeta/

By Bernhard Riemann The paper by Bernhard Riemann, first published in Monatsberichte der Berliner Akademie , November 1859, is available here in the following formats: LaTeX DVI PostScript PDF A translation of this paper into English is also available in the following formats: LaTeX DVI PostScript PDF Riemann's paper includes the celebrated Riemann Hypothesis . Further information concerning the Riemann Hypothesis is to be found on the following Web pages: The Riemann Hypothesis (Daniel Bump, Stanford University) The Riemann Hypothesis (Chris K. Caldwell, University of Tennessee at Martin) ... (Eric W. Weisstein, University of Virginia) Links: Georg Friedrich Bernhard Riemann (1826-1866) History of Mathematics D.R. Wilkins dwilkins@maths.tcd.ie ... Trinity College, Dublin

49. Georg Friedrich Bernhard Riemann (1826-1866) Papers of Bernhard Riemann Riemann s inaugural lecture on the foundationsof geometry The Riemann Zeta Function and the riemann hypothesis http://www.maths.tcd.ie/pub/HistMath/People/Riemann/

Georg Friedrich Bernhard Riemann (1826-1866) The Life of Bernhard Riemann The Mathematical Papers of Bernhard Riemann Riemann's inaugural lecture on the foundations of geometry The Riemann Zeta Function and the Riemann Hypothesis Back to: Mathematicians and Philosophers in the History of Mathematics archive The History of Mathematics David R. Wilkins dwilkins@maths.tcd.ie ... Trinity College, Dublin

50. Riemann Hypothesis - Definition Of Riemann Hypothesis In Encyclopedia RH directs here. RH is also the common abbreviation for the soap Ryan sHope.The riemann hypothesis, first formulated by Bernhard Riemann in 1859, http://encyclopedia.laborlawtalk.com/Riemann_hypothesis

Add to Favorites General Encyclopedia Legal ... Law forum Search Word: Visit our Law forums Labor Law Accidents Law Bankruptcy Law Business Law ... RH directs here. RH is also the common abbreviation for the soap Ryan's Hope The Riemann hypothesis , first formulated by Bernhard Riemann in , is a conjecture about the distribution of the zeros of the Riemann zeta function s ). The Riemann zeta function 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 The Riemann hypothesis 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.) 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")

51. How I Proved The Riemann Hypothesis The riemann hypothesis was first formulated when Riemann wrote in the margin of They say that all you have to do is prove the riemann hypothesis and the http://www.geocities.com/j_r_partington/riemann.html

How I proved the Riemann Hypothesis The trouble with this modern age is that every few weeks someone goes and solves a problem that's been baffling Mathmos for centuries. Sometimes it's the Four Colour Problem, sometimes it's Fermat's Last Theorem, sometimes it's "Why are the Graph Theory books all miscatalogued?" You know how it is in households the length and breadth of the country, the following conversation takes place over breakfast: "Well, I've been telling them it would happen for years, but they wouldn't believe me. 'It was claimed yesterday that four colours suffice to colour any map on the plane. Mrs Thatcher has promised to reduce this to three by 1995. In the House of Commons, Mr Dennis Skinner was suspended for saying "Poo-poo."'" "Yes, dear. Did they explain how the theorem is proved?" "Yes 'The intimate secrets of Appel and Haken revealed Sexy underwear in four colours to be won - see pages 6,7,8,9.' I think the Times has gone downhill a bit recently." Time was running out and I had to decide quickly: if I wanted to make my name, should I prove Goldbach's conjecture, or the Riemann hypothesis? After some thought I decided: I'd make a serious attempt at cracking the Riemann hypothesis, and then, if it came out by lunchtime, I'd do Goldbach over tea.

52. The Riemann Hypothesis For The Goss Zeta Function For F_q[T], By Jeffrey T. Shea DiazVargas proof of the riemann hypothesis for the Goss zeta function for F_pTdepends on his verification of Carlitz s assertion for the specific case http://www.math.uiuc.edu/Algebraic-Number-Theory/0096/

The Riemann Hypothesis for the Goss zeta function for F_q[T], by Jeffrey T. Sheats Let q be a power of a prime p. We prove an assertion of Carlitz which takes q as parameter. Diaz-Vargas' proof of the Riemann Hypothesis for the Goss zeta function for F_p[T] depends on his verification of Carlitz's assertion for the specific case q = p. Our proof of the general case allows us to extend Diaz-Vargas' proof to F_q[T]. rh.ps (405022 bytes) rh.ps.gz (118508 bytes) Jeffrey T. Sheats

53. The Impact Of The Infinite Primes On The Riemann Hypothesis For Characteristic P In \cite{go2} we proposed an analog of the classical riemann hypothesis forcharacteristic $p$ valued $L$series based on the work of Wan, Diaz-Vargas, http://www.math.uiuc.edu/Algebraic-Number-Theory/0299/

The impact of the infinite primes on the Riemann hypothesis for characteristic p L-series, by David Goss co.dvi (93456 bytes) [2001 Jun 8] co.dvi.gz (39221 bytes) co.ps.gz (118008 bytes) David Goss

54. Proof For Riemann Hypothesis? Science news, offbeat technologies, scientific hot topics, bizarre scientificresearch, cryptic experimental results and the liveliest science discussion http://www.scienceagogo.com/news/20040508233713data_trunc_sys.shtml

The latest science news, research tidbits and science discussion Home ... News Extra 9 June 2004 Proof For Riemann Hypothesis? A mathematician from Purdue University claims to have proven the Riemann hypothesis, often dubbed the greatest unsolved problem in mathematics. Louis De Branges de Bourcia has posted a 23-page paper detailing his attempt at a proof on his university web page . The spirited competition to prove the hypothesis - which carries a $1 million prize for whomever accomplishes it first - has encouraged de Branges to announce his work as soon as it was completed rather than go through the more traditional peer reviewed publishing process. "I invite other mathematicians to examine my efforts," said de Branges. "While I will eventually submit my proof for formal publication, due to the circumstances, I felt it necessary to post the work on the Internet immediately." The Riemann hypothesis is a highly complex theory about the nature of prime numbers - those numbers divisible only by 1 and themselves - that has stymied mathematicians since 1859. In that year, Bernhard Riemann published a conjecture about how prime numbers were distributed among other numbers. He labored over his own theory until his death in 1866, but was ultimately unable to prove it. The problem attracted a cult following among mathematicians, but after nearly 150 years no one has ever definitively proven Riemann's theory to be either true or false. In 2001 the Clay Mathematics Institute in Cambridge, Mass., offered a $1 million prize to whomever proves it first.

55. Mudd Math Fun Facts: Riemann Hypothesis riemann hypothesis. If you know about complex numbers, you will be able toappreciate one of the great unsolved problems of our time. http://www.math.hmc.edu/funfacts/ffiles/30002.5.shtml

hosted by the Harvey Mudd College Math Department Francis Su Any Easy Medium Advanced Search Tips List All Fun Facts Fun Facts Home About Math Fun Facts ... Other Fun Facts Features 181937326.184688 Fun Facts viewed since 20 July 1999. Francis Edward Su From the Fun Fact files, here is a Fun Fact at the Advanced level: Riemann Hypothesis If you know about complex numbers, you will be able to appreciate one of the great unsolved problems of our time. The Riemann zeta function is defined by Zeta(z) = SUM k=1 to infinity (1/k z This is the harmonic series for z=1 and Sums of Reciprocal Powers if you set z equal to other positive integers. The function can be extended to the entire complex plane (with some poles) by a process called "analytic continuation", although what that is won't concern us here. It is of great interest to find the zeroes of this function. The function is trivially zero at the negative even integers, but where are all the other zeroes? To date, the only other zeroes known all lie on the line in the complex plane with real part equal to 1/2. This has been checked for several hundred million zeroes! No one knows, however, if

56. Dan Rockmore's Book: Stalking The Riemann Hypothesis - ChanceWiki He chose as his topic The riemann hypothesis This is generally considered the Stalking the riemann hypothesis is Dan s greatest challenge to bring http://chance.dartmouth.edu/chancewiki/index.php/Dan_Rockmore's_book:_Stalking_t

Dan Rockmore's book: Stalking the Riemann Hypothesis From ChanceWiki Stalking the Riemann Hypothesis http://www.amazon.com/exec/obidos/ASIN/037542136X/qid%3D1111091478/sr%3D2-1/ref%3Dpd%5Fbbs%5Fb%5F2%5F1/103-9738865-3722248 Pantheon Books, New York, 2005 Dan Rockmore The Proof: an interview with Dan Rockmore http://nhpr.org/view_content/8573/ New Hampshire Public April 12. 2005 John Walters As the stakes increase, Prime-Number theory Moves Closer to Proof http://www.cs.dartmouth.edu/~rockmore/WSJ.pdf Wall Street Journal, Science Journal, April 8. 2005 Sharon Begley Math Monster http://www.cs.dartmouth.edu/~rockmore/telegraph.html The Telegraph (Calcutta, India), April 8, 2005 Pathik Guha In 1998 the Mathematical Sciences Research Institute in Berkeley, California http://www.msri.org had a three-day conference on "Mathematics and the Media". The purpose of this conference was to bring together science writers and mathematicians to discuss ways to better inform the public about mathematics and new discoveries in mathematics. As part of the conference, they asked Peter Sarnak, from Princeton University, to talk about new results in mathematics that he felt the science writers might like to write about. He chose as his topic "The Riemann Hypothesis" This is generally considered the most famous unsolved problem in mathematics and is the major focus of Sarnak's research. In his talk, Sarnak described some fascinating new connections between the Riemann Hypothesis, physics and random matrices. He used only mathematics that one would meet in calculus and linear algebra. Sarnak's lecture, and a discussion of his talk by the science writers, can be found

57. Guardian Unlimited | The Guardian | Maths Holy Grail Could Bring Disaster For In The riemann hypothesis would explain the apparently random pattern of If theriemann hypothesis is true, it won t produce a prime number spectrometer. http://www.guardian.co.uk/uk_news/story/0,3604,1298728,00.html

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58. 2. Riemann Hypothesis riemann hypothesis, EulerMaclaurin Sum Formula, Riemann sum, Improper integral. http://home.earthlink.net/~jsondow/id6.html

HOME 1. Analytic Continuation 2. Riemann Hypothesis 3. Antisymmetric Formula HOME 1. Analytic Continuation 2. Riemann Hypothesis 3. Antisymmetric Formula

59. Purdue Mathematician Claims Proof For Riemann Hypothesis The riemann hypothesis is a highly complex theory about the nature of primenumbers – those numbers divisible only by 1 and themselves – that has stymied http://news.uns.purdue.edu/UNS/html4ever/2004/040608.DeBranges.Riemann.html

Purdue News Note to Journalists: The following release concerns research that has not yet been peer reviewed or published in a professional journal. The researcher can be reached via air mail or international telephone with the contact information listed at the end of the release. June 8, 2004 Purdue mathematician claims proof for Riemann hypothesis Louis De Branges de Bourcia, or de Branges (de BRONZH) as he prefers to be called, has posted a 124-page paper "I invite other mathematicians to examine my efforts," said de Branges, who is the Edward C. Elliott Distinguished Professor of Mathematics in Purdue's School of Science. "While I will eventually submit my proof for formal publication, due to the circumstances I felt it necessary to post the work on the Internet immediately." The problem attracted a cult following among mathematicians, but after nearly 150 years no one has ever definitively proven Riemann's theory to be either true or false. Although a definitive solution would not have any immediate industrial application, in 2001 the Clay Mathematics Institute in Cambridge, Mass., offered a $1 million purse to whoever proves it first. At least two books for popular audiences have appeared recently that describe the efforts of mathematicians to solve the puzzle. One of the books, Karl Sabbagh's "Dr. Riemann's Zeros," provides an extensive profile of de Branges and offers one of the mathematician's earlier, incomplete attempts at a proof as an appendix.

60. Stalking The Riemann Hypothesis By Dan Rockmore Stalking the riemann hypothesis Dan Rockmore Mathematics Advanced Pantheon Hardcover. http://www.randomhouse.com/catalog/display.pperl?isbn=037542136X

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