Siegel Modular Forms - Pitale Ameya | Libro Springer 05/2019 - HOEPLI.it


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pitale ameya - siegel modular forms

Siegel Modular Forms A Classical and Representation-Theoretic Approach




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Dettagli

Genere:Libro
Lingua: Inglese
Editore:

Springer

Pubblicazione: 05/2019
Edizione: 1st ed. 2019





Sommario

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.




Trama

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.








Altre Informazioni

ISBN:

9783030156749

Condizione: Nuovo
Collana: Lecture Notes in Mathematics
Dimensioni: 235 x 155 mm Ø 238 gr
Formato: Brossura
Illustration Notes:112 Illustrations, black and white
Pagine Arabe: 138
Pagine Romane: ix






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