Introductory lectures on Siegel modular forms

Bibliographic Information

Introductory lectures on Siegel modular forms

Helmut Klingen

(Cambridge studies in advanced mathematics, 20)

Cambridge University Press, 1990

Available at  / 80 libraries

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Note

Bibliography: p. [157]-160

Includes index

Description and Table of Contents

Description

From their inception, Siegel modular forms have been studied extensively because of their significance in both automorphic functions in several complex variables and number theory. The comprehensive theory of automorphic forms to subgroups of algebraic groups and the arithmetical theory of modular forms illustrate these two aspects in an illuminating manner. The author's aim is to present a straightforward and easily accessible survey of the main ideas of the theory at an elementary level, providing a sound basis from which the reader can study advanced works and undertake original research. This book is based on lectures given by the author for a number of years and is intended for a one-semester graduate course, though it can also be used profitably for self-study. The only prerequisites are a basic knowledge of algebra, number theory and complex analysis.

Table of Contents

  • Preface
  • 1. The modular group
  • 2. Basic facts on modular forms
  • 3. Large weights
  • 4. Small weights
  • 5. Modular functions
  • 6. Dirichlet series
  • Bibliography
  • Index.

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Details

  • NCID
    BA09808067
  • ISBN
    • 0521350522
  • LCCN
    89009740
  • Country Code
    uk
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Cambridge, England ; New York
  • Pages/Volumes
    x, 162 p.
  • Size
    24 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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