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  • Book
  • © 1972

Computational Problems, Methods, and Results in Algebraic Number Theory

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

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  • ISBN: 978-3-540-37466-4
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Table of contents (13 chapters)

  1. Front Matter

    Pages I-V
  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. Diophantine equations

    • Horst G. Zimmer
    Pages 56-70
  13. The hasse principle for cubic surfaces

    • Horst G. Zimmer
    Pages 70-71
  14. Back Matter

    Pages 72-103

Keywords

  • Algebraic
  • Finite
  • algebra
  • equation
  • finite field
  • number theory

Bibliographic Information

  • Book Title: Computational Problems, Methods, and Results in Algebraic Number Theory

  • Authors: Horst G. Zimmer

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0058472

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1972

  • Softcover ISBN: 978-3-540-05822-9

  • eBook ISBN: 978-3-540-37466-4

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VI, 110

  • Topics: Mathematics

Buying options

eBook USD 29.99
Price excludes VAT (USA)
  • ISBN: 978-3-540-37466-4
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 39.99
Price excludes VAT (USA)