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Siegel Modular Forms: A Classical and Representation-Theoretic Approach 2019 Edition
Contributor(s): Pitale, Ameya (Author)

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 ISBN: 3030156745     ISBN-13: 9783030156749
Publisher: Springer
OUR PRICE: $52.24  

Binding Type: Paperback
Published: May 2019
Qty:

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Additional Information
BISAC Categories:
- Mathematics | Number Theory
- Mathematics | Algebra - Abstract
- Mathematics | Group Theory
Dewey: 512.2
Series: Lecture Notes in Mathematics
Physical Information: 0.32" H x 6.14" W x 9.21" L (0.48 lbs) 138 pages
 
Descriptions, Reviews, Etc.
Publisher Description:
This monograph introduces two approaches to studying Siegel modular forms: the classical approach as holomorphic functions on the Siegel upper half space, and the approach via representation theory on the symplectic group. By illustrating the interconnections shared by the two, this book fills an important gap in the existing literature on modular forms. It begins by establishing the basics of the classical theory of Siegel modular forms, and then details more advanced topics. After this, much of the basic local representation theory is presented. Exercises are featured heavily throughout the volume, the solutions of which are helpfully provided in an appendix. Other topics considered include Hecke theory, Fourier coefficients, cuspidal automorphic representations, Bessel models, and integral representation.

Graduate students and young researchers will find this volume particularly useful. It will also appeal to researchers in the area as a reference volume. Some knowledge of GL(2) theory is recommended, but there are a number of appendices included if the reader is not already familiar.
 
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