Introductory Lectures on Siegel Modular Forms

Helmut Klingen

ISBN 10: 0521062098 / ISBN 13: 9780521062091

Published by Cambridge University Press, 2008

About this Item

Druck auf Anfrage Neuware - Printed after ordering - 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.

Seller Inventory # 9780521062091

Bibliographic Details

• Title: Introductory Lectures on Siegel Modular Forms
• Publisher: Cambridge University Press
• Publication Date: 2008
• Language: English
• ISBN 10: 0521062098
• ISBN 13: 9780521062091
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 229W x 152H x 10D millimeters 229 millimeters width by 152 millimeters height by 10 millimeters depth
• Weight: 265 grams

About this title

Synopsis

This volume aims to present a straightforward and easily accessible survey of the analytic theory of quadratic forms. Written at an elementary level, the book provides a sound basis from which the reader can study advanced works and undertake original research. Roughly 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 text is based on the author's lectures given over a number of years and is intended for a one semester graduate course, although it can serve equally well for self study . The only prerequisites are a knowledge of algebra, number theory and complex analysis.

Book Description

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.