Skip to main content
SpringerLink
Log in
Book cover

Basic Number Theory

  • Book
  • © 1967

Overview

Authors:
  1. André Weil

    1. The Institute for Advanced Study, Princeton, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

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

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 74.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (13 chapters)

  1. Front Matter

    Pages I-XVIII
    Download chapter 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 292-296
    Download chapter PDF
Back to top

Keywords

Authors and Affiliations

  • The Institute for Advanced Study, Princeton, USA

    André Weil

Bibliographic Information

  • Book Title: Basic Number Theory

  • Authors: André Weil

  • Series Title: Grundlehren der mathematischen Wissenschaften

  • DOI: https://doi.org/10.1007/978-3-662-00046-5

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1967

  • eBook ISBN: 978-3-662-00046-5Published: 06 December 2012

  • Series ISSN: 0072-7830

  • Series E-ISSN: 2196-9701

  • Edition Number: 1

  • Number of Illustrations: 1 b/w illustrations

  • Topics: Algebra

Publish with us

Policies and ethics

Back to top

Search

Navigation