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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Siegel Modular Forms: A Classical and Representation-Theoretic Approach

Siegel Modular Forms: A Classical and Representation-Theoretic Approach

Pitale, Ameya

Paperback

Series: Lecture Notes in Mathematics, Book 2240

AlgebraGeneral Mathematics

ISBN10: 3030156745
ISBN13: 9783030156749
Publisher: Springer Nature
Published: May 8 2019
Pages: 138
Weight: 0.48
Height: 0.32 Width: 6.14 Depth: 9.21
Language: English
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 areaas 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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