عنوان

Siegel modular forms :

شابک

3030156745

شابک

3030156753

شابک

3030156761

شابک

9783030156749

شابک

9783030156756

شابک

9783030156763

شابک اشتباه

9783030156749

عنوان اصلي

Siegel modular forms :

نام عام مواد

[Book]

ساير اطلاعات عنواني

a classical and representation-theoretic approach /

نام نخستين پديدآور

Ameya Pitale.

محل نشرو پخش و غیره

Cham, Switzerland :

نام ناشر، پخش کننده و غيره

Springer,

تاریخ نشرو بخش و غیره

2019.

نام خاص و کميت اثر

1 online resource (ix, 138 pages) :

ساير جزييات

illustrations

عنوان فروست

Lecture notes in mathematics,

مشخصه جلد

volume 2240

شاپا ي ISSN فروست

0075-8434 ;

متن يادداشت

Includes bibliographical references and index.

متن يادداشت

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.

بدون عنوان

0

متن يادداشت

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.

منبع سفارش / آدرس اشتراک

Springer Nature

شماره انبار

com.springer.onix.9783030156756

شماره استاندارد بين المللي کتاب و موسيقي

9783030156749

شماره استاندارد بين المللي کتاب و موسيقي

9783030156763

موضوع مستند نشده

Forms, Modular.

موضوع مستند نشده

Forms, Modular.

موضوع مستند نشده

MAT022000

موضوع مستند نشده

PBH

موضوع مستند نشده

PBH

شماره

ويراست

شماره رده

مستند نام اشخاص تاييد نشده

Pitale, Ameya,1977-

تاريخ عمليات

20200823084640.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y