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Arithmetic of Quadratic Forms

Arithmetic of Quadratic Forms

Arithmetic of Quadratic Forms

Yoshiyuki Kitaoka, Nagoya University, Japan
April 2011
This ISBN is for an eBook version which is distributed on our behalf by a third party.
Adobe eBook Reader
9780511879326
$70.99
USD
Adobe eBook Reader
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Paperback

    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.

    • Author is leading figure in the field
    • Suitable for use as a graduate textbook
    • Particularly of interest in Germany and USA

    Reviews & endorsements

    ' … ideal for graduate students and researchers wishing for an insight into quadratic forms.' Extrait de L'Enseignement Mathématique

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    Product details

    April 2011
    Adobe eBook Reader
    9780511879326
    0 pages
    0kg
    This ISBN is for an eBook version which is distributed on our behalf by a third party.

    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.
      Author
    • Yoshiyuki Kitaoka , Nagoya University, Japan