Introductory Lectures on Siegel Modular Forms

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Hardcover | 30 April 1990

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176 Pages

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22.86 x 15.24 x 1.42

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About half a century ago C. L. Siegel discovered a new type of automorphic forms in several variables in connection with his famous work on the analytic theory of quadratic forms. Since then 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 recent 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.

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"...an excellent introduction to the subject of Siegel modular forms written by an expert and can be recommended highly as a first text in the subject." Mathematical Reviews

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Preface
The modular group
Basic facts on modular forms
Large weights
Small weights
Modular functions
Dirichlet series
Bibliography
Table of Contents provided by Publisher. All Rights Reserved.

Introductory Lectures on Siegel Modular Forms

At a Glance

Hardcover

Industry Reviews

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How to return your order

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