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Computational Problems, Methods, and Results in Algebraic Number Theory

  • Authors
  • Horst G. Zimmer
Book

Part of the Lecture Notes in Mathematics book series (LNM, volume 262)

Table of contents

  1. Front Matter
    Pages I-V
    PDF
  2. Introduction
    Horst G. Zimmer
    Pages 1-2
  3. Finite fields
    Horst G. Zimmer
    Pages 2-4
  4. Factorization of polynomials
    Horst G. Zimmer
    Pages 5-11
  5. Galois groups
    Horst G. Zimmer
    Pages 11-14
  6. Continued fractions
    Horst G. Zimmer
    Pages 14-18
  7. Field extensions
    Horst G. Zimmer
    Pages 18-24
  8. Modules and orders
    Horst G. Zimmer
    Pages 24-29
  9. Products of linear forms
    Horst G. Zimmer
    Pages 29-35
  10. Units in algebraic number fields
    Horst G. Zimmer
    Pages 35-40
  11. Class numbers of algebraic number fields
    Horst G. Zimmer
    Pages 40-50
  12. Class groups and class fields of algebraic number fields
    Horst G. Zimmer
    Pages 51-56
  13. Diophantine equations
    Horst G. Zimmer
    Pages 56-70
  14. The hasse principle for cubic surfaces
    Horst G. Zimmer
    Pages 70-71
  15. Back Matter
    Pages 72-103
    PDF

About this book

Keywords

Algebraic Finite algebra equation finite field number theory

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0058472
  • Copyright Information Springer-Verlag Berlin Heidelberg 1972
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-05822-9
  • Online ISBN 978-3-540-37466-4
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site
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