Ipotèz Riemann: Diferans ant vèsyon yo

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Se yon ipotèz matematik, yon konjekti fèt pa [[Bernhard Riemann]].

Kesyon l poze ap prezante konsa : èske tout zero [[fonksyon zeta Riemann|fonksyon Zeta Riemann]] an genyen 1/2 pou pati reyèl ?

 

 

 

* Bernhard Riemann, ''[http://www.claymath.org/millennium/Riemann_Hypothesis/1859_manuscript/ Ueber die Anzahl der Primzahlen unter einer gegebenen Grösse]'', (1859) Monatsberichte der Berliner Akademie. ''(This site provides both a facsimile of the original manuscripts, as well as English translations.)''

* Jacques Hadamard, ''Sur la distribution des zéros de la fonction ζ(s) et ses conséquences arithmétiques'', Bulletin Société Mathématique de France '''14''' (1896) pp 199-220.

 

* [[H. M. Edwards]], ''Riemann's Zeta Function'', Academic Press, 1974. (Reprinted by Dover Publications, 2001 ISBN 0-486-41740-9)

* [[Edward Charles Titchmarsh|E. C. Titchmarsh]], ''The Theory of the Riemann Zeta Function'', second revised (Heath-Brown) edition, Oxford University Press, 1986

* [[Brian Conrey|Conrey, J. Brian.]] "the Riemann Hypothesis" Notices of the American Mathematical Society, March 2003, 341-353. Available free http://www.ams.org/notices/200303/fea-conrey-web.pdf

 

* [[Clay Mathematics Institute]], ''[http://www.claymath.org/millennium/ Millennium Problems]'', (2000) (Announcement of the million dollar rewards for solutions to famous problems in mathematics)

* [[Marcus du Sautoy]], ''The Music of the Primes'', HarperCollins, 2003

* Karl Sabbagh, ''The Riemann Hypothesis: the greatest unsolved problem in mathematics'', (2003) Farrar, Straus and Giroux, ISBN 0-374-25007-3. Also (2004) First American paperback edition. Conversations with mathematicians working on the problem. The reader should not expect to learn anything about the problem itself

 

* Bollobas, Bela, foreword to [[John Edensor Littlewood|Littlewood's]] Miscellany, Cambridge University Press, 1986

 

* [http://www.ams.org/notices/200606/fea-jaffe.pdf The Millennium Grand Challenge in Mathematics]

* [http://www.claymath.org/prizeproblems The Millennium Prize Problems]

 

 

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