عنوان

Siegel modular forms :

(Number (ISBN

3030156745

(Number (ISBN

3030156753

(Number (ISBN

3030156761

(Number (ISBN

9783030156749

(Number (ISBN

9783030156756

(Number (ISBN

9783030156763

Erroneous ISBN

9783030156749

Title Proper

Siegel modular forms :

General Material Designation

[Book]

Other Title Information

a classical and representation-theoretic approach /

First Statement of Responsibility

Ameya Pitale.

Place of Publication, Distribution, etc.

Cham, Switzerland :

Name of Publisher, Distributor, etc.

Springer,

Date of Publication, Distribution, etc.

2019.

Specific Material Designation and Extent of Item

1 online resource (ix, 138 pages) :

Other Physical Details

illustrations

Series Title

Lecture notes in mathematics,

Volume Designation

volume 2240

ISSN of Series

0075-8434 ;

Text of Note

Includes bibliographical references and index.

Text of Note

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.

0

Text of Note

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.

Source for Acquisition/Subscription Address

Springer Nature

Stock Number

com.springer.onix.9783030156756

International Standard Book Number

9783030156749

International Standard Book Number

9783030156763

Forms, Modular.

Forms, Modular.

MAT022000

PBH

PBH

Number

Edition

Class number

Pitale, Ameya,1977-

Date of Transaction

20200823084640.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

Y