عنوان
پدید آورنده
موضوع
رده
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9783642293023
NATIONAL BIBLIOGRAPHY NUMBER
Number
b407183
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Modular Forms with Integral and Half-Integral Weights
General Material Designation
[Book]
First Statement of Responsibility
by Xueli Wang, Dingyi Pei.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Berlin, Heidelberg :
Name of Publisher, Distributor, etc.
Imprint: Springer,
Date of Publication, Distribution, etc.
2012.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
Approx. 400 p. 3 illus.
Other Physical Details
digital.
CONTENTS NOTE
Text of Note
Theta Functions and Their Transformation Formulae -- Eisenstein Series -- The Modular Group and Its Subgroups -- Modular Forms with Integral Weight or Half-integral Weight -- Operators on the Space of Modular Forms -- New Forms and Old Forms.-Construction of Eisenstein Series -- Weil Representation and Shimura Lifting -- Trace Formula -- Integers Represented by Positive Definite Quadratic Forms.
0
SUMMARY OR ABSTRACT
Text of Note
"Modular Forms with Integral and Half-Integral Weights" focuses on the fundamental theory of modular forms of one variable with integral and half-integral weights. The main theme of the book is the theory of Eisenstein series. It is a fundamental problem to construct a basis of the orthogonal complement of the space of cusp forms; as is well known, this space is spanned by Eisenstein series for any weight greater than or equal to 2. The book proves that the conclusion holds true for weight 3/2 by explicitly constructing a basis of the orthogonal complement of the space of cusp forms. The problem for weight 1/2, which was solved by Serre and Stark, will also be discussed in this book. The book provides readers not only basic knowledge on this topic but also a general survey of modern investigation methods of modular forms with integral and half-integral weights. It will be of significant interest to researchers and practitioners in modular forms of mathematics. Dr. Xueli Wang is a Professor at South China Normal University, China. Dingyi Pei is a Professor at Guangzhou University, China.
OTHER EDITION IN ANOTHER MEDIUM
International Standard Book Number
9783642293016
TOPICAL NAME USED AS SUBJECT
Functions of complex variables.
Functions of complex variables.
Geometry, Algebraic.
Geometry, Algebraic.
Mathematics.
Mathematics.
Number theory.
Number theory.
PERSONAL NAME - PRIMARY RESPONSIBILITY
Wang, Xueli.
PERSONAL NAME - ALTERNATIVE RESPONSIBILITY
Pei, Dingyi.
CORPORATE BODY NAME - ALTERNATIVE RESPONSIBILITY
SpringerLink (Online service)
ORIGINATING SOURCE
Date of Transaction
20130220153250.0
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
