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Introductory Lectures on Siegel Modular Forms

Introductory Lectures on Siegel Modular Forms

Paperback

Series: Cambridge Studies in Advanced Mathematics, Book 20

AlgebraCalculus

ISBN10: 0521062098
ISBN13: 9780521062091
Publisher: Cambridge
Published: May 15 2008
Pages: 176
Weight: 0.59
Height: 0.41 Width: 6.00 Depth: 9.00
Language: English
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.

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