Bernhard Riemann
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Home > Art, Film & Photography > Bernhard Riemann: Fonction Zeta de Riemann, Integrale de Riemann, Hypothese de Riemann Generalisee, Sphere de Riemann
Bernhard Riemann: Fonction Zeta de Riemann, Integrale de Riemann, Hypothese de Riemann Generalisee, Sphere de Riemann

Bernhard Riemann: Fonction Zeta de Riemann, Integrale de Riemann, Hypothese de Riemann Generalisee, Sphere de Riemann


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About the Book

Ce contenu est une compilation d'articles de l'encyclopedie libre Wikipedia. Pages: 43. Non illustre. Chapitres: Fonction zeta de Riemann, Integrale de Riemann, Hypothese de Riemann generalisee, Sphere de Riemann, Histoire de la fonction zeta de Riemann, Theoreme de l'application conforme, Equations de Cauchy-Riemann, Theoreme de Riemann-Lebesgue, Somme de Riemann, Surface de Riemann, Gustav Roch, Theoreme de rearrangement de Riemann, Formule de Riemann-Hurwitz, Serie de Riemann. Extrait: En mathematiques, la fonction zeta de Riemann est definie comme la somme d'une serie particuliere, dont les applications a la theorie des nombres et en particulier a l'etude des nombres premiers se sont averees essentielles. Cet article presente une histoire de la fonction zeta de Riemann, et de la comprehension qu'elle a permise de la repartition des nombres premiers. Un nombre entier naturel (positif) est dit premier s'il admet exactement deux diviseurs (1 et lui-meme). Le nombre 1 n'est pas premier. C'est dans l'Antiquite que furent decouverts les nombres premiers, probablement au moment de l'invention des fractions. Le role des nombres premiers est fondamental en arithmetique par suite du theoreme de decomposition, connu des l'Antiquite, qui enonce que tout entier positif est le produit de nombres premiers, s'il n'est lui-meme premier. Les nombres premiers, initialement rencontres dans la simplification des fractions, jouent un role dans les structures finies telles que l'anneau (Z/nZ, +, x) qui est un corps commutatif si et seulement si n est premier. On attribue traditionnellement a Euclide le theoreme suivant: - Il existe une infinite de nombres premiers -. Ce resultat ne resout cependant pas le probleme fondamental de la theorie des nombres premiers: comment les trouver - sans peine - ? S'il existait une expression donnant facilement, pour chaque entier n le nombre premier de rang n, la question de la repartition des nombres premiers ne se poserait pas. Mais la nature...


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Product Details
  • ISBN-13: 9781159396565
  • Publisher: Books LLC, Wiki Series
  • Publisher Imprint: Books LLC, Wiki Series
  • Height: 246 mm
  • No of Pages: 44
  • Spine Width: 2 mm
  • Weight: 95 gr
  • ISBN-10: 1159396566
  • Publisher Date: 21 Aug 2011
  • Binding: Paperback
  • Language: French
  • Returnable: N
  • Sub Title: Fonction Zeta de Riemann, Integrale de Riemann, Hypothese de Riemann Generalisee, Sphere de Riemann
  • Width: 189 mm


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