Siegel Modular Forms

A Classical and Representation-Theoretic Approach

AvAmeya Pitale

Häftad, Engelska, 2019

Del 2240 i serien Lecture Notes in Mathematics

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2019-05-08
Mått:155 x 235 x 12 mm
Vikt:240 g
Format:Häftad
Språk:Engelska
Serie:Lecture Notes in Mathematics
Antal sidor:138
Förlag:Springer Nature Switzerland AG
ISBN:9783030156749

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Recensioner i media

“This book does a very good job of introducing, clearly and concisely, key definitions, concepts and foundational results, necessarily leaving much of the detail to exercises and references, while also giving a flavour of current research … . It seems very much suited to its original target audience, but others, even those like me who couldn't be bothered doing the exercises, will find it an enlightening read, and will benefit from the well-judged choice of topics.” (Neil P. Dummigan, Mathematical Reviews, December, 2019)

Innehållsförteckning

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.