Bibliographic Information

Arithmetic of quadratic forms

Yoshiyuki Kitaoka

(Cambridge tracts in mathematics, 106)

Cambridge University Press, 1999

1st pbk. ed. (with corrections)

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Note

Includes bibliographical references (p. [263]-267) and index

Description and Table of Contents

Description

The aim of this book is to provide an introduction to quadratic forms that builds from basics up to the most recent results. Professor Kitaoka is well known for his work in this area, and in this book he covers many aspects of the subject, including lattice theory, Siegel's formula, and some results involving tensor products of positive definite quadratic forms. The reader is required to have only a knowledge of algebraic number fields, making this book ideal for graduate students and researchers wishing for an insight into quadratic forms.

Table of Contents

  • Preface
  • 1. General theory of quadratic forms
  • 2. Positive definite quadratic forms over R
  • 3. Quadratic forms over local fields
  • 4. Quadratic forms over Q
  • 5. Quadratic forms over the p-adic integer ring
  • 6. Quadratic forms over Z
  • 7. Some functorial properties of positive definite quadratic forms
  • Notes
  • References
  • Index.

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Details

  • NCID
    BA41433002
  • ISBN
    • 052164996X
  • Country Code
    uk
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Cambridge [England]
  • Pages/Volumes
    x, 270 p.
  • Size
    24 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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