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  • Book
  • © 1973

Basic Number Theory.

Authors:

  1. André Weil

    1. The Institute for Advanced Study, Princeton, USA

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Part of the book series: Grundlehren der mathematischen Wissenschaften (GL, volume 144)

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Table of contents (13 chapters)

  1. Front Matter

    Pages II-XVIII
    PDF

  2. Elementary Theory

    1. Locally compact fields

      • André Weil
      Pages 1-23

    2. Lattices and duality over local fields

      • André Weil
      Pages 24-42

    3. Places of A-fields

      • André Weil
      Pages 43-58

    4. Adeles

      • André Weil
      Pages 59-79

    5. Algebraic number-fields

      • André Weil
      Pages 80-95

    6. The theorem of Riemann-Roch

      • André Weil
      Pages 96-101

    7. Zeta-functions of A-fields

      • André Weil
      Pages 102-138

    8. Traces and norms

      • André Weil
      Pages 139-161

  3. Classfield Theory

    1. Simple algebras

      • André Weil
      Pages 162-187

    2. Simple algebras over local fields

      • André Weil
      Pages 188-201

    3. Simple algebras over A-fields

      • André Weil
      Pages 202-212

    4. Local classfield theory

      • André Weil
      Pages 213-243

    5. Global classfield theory

      • André Weil
      Pages 244-291

  4. Back Matter

    Pages 292-315
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Keywords

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Authors and Affiliations

  • The Institute for Advanced Study, Princeton, USA

    André Weil

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Bibliographic Information

  • Book Title: Basic Number Theory.

  • Authors: André Weil

  • Series Title: Grundlehren der mathematischen Wissenschaften

  • DOI: https://doi.org/10.1007/978-3-662-05978-4

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1973

  • eBook ISBN: 978-3-662-05978-4Published: 14 December 2013

  • Series ISSN: 0072-7830

  • Series E-ISSN: 2196-9701

  • Edition Number: 2

  • Number of Pages: XVIII, 315

  • Topics: Number Theory

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