Jean-Pierre Serre

Publications405
h-index63
Citations22,942
Highly Influential Citations1,422
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Linear representations of finite groups
TLDR
Representations and characters: generalities on linear representations character theory subgroups, products, induced representation compact groups examples. Expand
  • 1,589
  • 109
Propriétés galoisiennes des points d'ordre fini des courbes elliptiques
  • 1,096
  • 105
  • PDF
A Course in Arithmetic
Part 1 Algebraic methods: finite fields p-adic fields Hilbert symbol quadratic forms over Qp, and over Q integral quadratic forms with discriminant +-1. Part 2 Analytic methods: the theorem on… Expand
  • 1,683
  • 89
Quelques applications du théorème de densité de Chebotarev
The present invention relates to multinozzle spraying apparatus for spraying insecticides and the like. A plurality of spray nozzles having differing spray characteristics are provided attached to a… Expand
  • 557
  • 49
  • PDF
Formes modulaires et fonctions zêta p-adiques
Soient K un corps de nombres algebriques totalement reel, et ζK sa fonction zeta. D’apres un theoreme de Siegel [24], ζK(1 − k) est un nombre rationnel si k est entier ⩾ 1; il est ≠ 0 si k est pair.… Expand
  • 361
  • 47
Abelian L-adic representation and elliptic curves
TLDR
This classic book contains an introduction to systems of l-adic representations, a topic of great importance in number theory and algebraic geometry, as reflected by the spectacular recent developments on the Tani-Weil conjecture and Fermat's Last Theorem. Expand
  • 403
  • 45
  • PDF
Faisceaux algébriques cohérents
  • 775
  • 42
  • PDF
Lie Algebras And Lie Groups
  • 924
  • 41
Groupes algébriques et corps de classes
  • 591
  • 35
Good reduction of abelian varieties
  • 572
  • 35
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