2011-12-01, English, Article, Report edition: Nombres de Weil, Sommes de Gauss et annulateurs galoisiens.(Author abstract)(Report) Do, Thong Nguyen Quang; Nicolas, Vesale

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Physical Description
  • Report
  • Author abstract
  • Magazine/​Journal article
Published
  • Johns Hopkins University Press, 2011 Dec
Language
  • English

Edition details

Title
  • Nombres de Weil, Sommes de Gauss et annulateurs galoisiens.(Author abstract)(Report)
Also Titled
  • Nombres de Weil, Sommes de Gauss et annulateurs galoisiens.
Appears In
  • American Journal of Mathematics, v.133, no.6, 2011 Dec, p.1533(39) (ISSN: 0002-9327)
Author
  • Do, Thong Nguyen Quang
  • Nicolas, Vesale
Published
  • Johns Hopkins University Press, 2011 Dec
Physical Description
  • Report
  • Author abstract
  • Magazine/​Journal article
Subjects
Target Audience
  • Academic
Summary
  • For an abelian number field K containing a primitive pth root of unity (p an odd prime) and satisfying certain technical conditions, we parametrize the [Z.sub.p] [G(K/​Q)]-annihilators of the "minus" part [A.sup.-.sub.K] of the p-class group by means of modules of Jacobi sums. Using a reflection theorem and Bloch-Kato's reciprocity law, we then determine the Fitting ideal of the "plus" part [A.sup.+.sub.K] in terms of "twisted" Gauss sums.
Terms of Use
  • COPYRIGHT 2011 Johns Hopkins University Press
Language
  • English
Database
  • Gale Expanded Academic
  • Gale General OneFile
  • Gale Academic OneFile
Identifier
  • 274520314

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