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Introductory Lectures on Siegel Modular Forms

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Introductory Lectures on Siegel Modular Forms Cover

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

A straightforward and easily accessible survey of the main ideas of the theory at an elementary level.

Synopsis:

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.

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.

Product Details

ISBN:
9780521062091
Author:
Klingen, Helmut
Publisher:
Cambridge University Press
Location:
Cambridge
Subject:
Algebra - General
Subject:
Calculus
Subject:
Mathematics - Algebra
Edition Description:
Trade paper
Series:
Cambridge Studies in Advanced Mathematics
Series Volume:
20
Publication Date:
20080131
Binding:
TRADE PAPER
Language:
English
Pages:
176
Dimensions:
5.98x9.01x.40 in. .58 lbs.

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Introductory Lectures on Siegel Modular Forms New Trade Paper
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Product details 176 pages Cambridge University Press - English 9780521062091 Reviews:
"Synopsis" by , A straightforward and easily accessible survey of the main ideas of the theory at an elementary level.
"Synopsis" by , 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.
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