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Siegel modular forms : a classical and representation-theoretic approach

Author: Ameya Pitale
Publisher: Cham, Switzerland : Springer, 2019.
Series: Lecture notes in mathematics (Springer-Verlag), 2240.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Printed edition:
Printed edition:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Ameya Pitale
ISBN: 9783030156756 3030156753 3030156745 9783030156749 9783030156763 3030156761
OCLC Number: 1101618424
Description: 1 online resource (ix, 138 pages) : illustrations
Contents: Introduction --
Lecture 1:Introduction to Siegel modular forms --
Lecture 2: Examples --
Lecture 3: Hecke Theory and L-functions --
Lecture 4: Non-vanishing of primitive Fourier coefficients and applications --
Lecture 5: Applications of properties of L-functions --
Lecture 6: Cuspidal automorphic representations corresponding to Siegel modular forms --
Lecture 7: Local representation theory of GSp4(ℚp) --
Lecture 8: Bessel models and applications --
Lecture 9: Analytic and arithmetic properties of GSp4 x GL2 L-functions --
Lecture 10: Integral representation of the standard L-function.
Series Title: Lecture notes in mathematics (Springer-Verlag), 2240.
Responsibility: Ameya Pitale.

Abstract:

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  Read more...

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