skip to content
Modular Forms with Integral and Half-Integral Weights Preview this item
ClosePreview this item
Checking...

Modular Forms with Integral and Half-Integral Weights

Author: Xueli Wang; Dingyi Pei
Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Springer e-books : Imprint: Springer : Springer e-books, 2012.
Edition/Format:   Computer file : EnglishView all editions and formats
Database:WorldCat
Summary:
"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  Read more...
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

 

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Additional Physical Format: Modular Forms with Integral and Half-Integral Weights [Texte imprimé]
9783642293016
Document Type: Computer File
All Authors / Contributors: Xueli Wang; Dingyi Pei
ISBN: 9783642293023 3642293026
OCLC Number: 863598849
Description: 1 online resource.
Details: Nécessite un lecteur de fichier PDF.
Contents: 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
Responsibility: by Xueli Wang, Dingyi Pei.

Abstract:

"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.

Reviews

User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/863598849> # Modular Forms with Integral and Half-Integral Weights
    a bgn:ComputerFile, schema:CreativeWork ;
   library:oclcnum "863598849" ;
   library:placeOfPublication <http://id.loc.gov/vocabulary/countries/gw> ;
   library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/1167168690#Place/berlin_heidelberg> ; # Berlin, Heidelberg
   schema:about <http://id.loc.gov/authorities/subjects/sh85052356> ; # Functions of complex variables
   schema:about <http://experiment.worldcat.org/entity/work/data/1167168690#Thing/functions_of_a_complex_variable> ; # Functions of a Complex Variable
   schema:about <http://experiment.worldcat.org/entity/work/data/1167168690#Thing/mathematics> ; # Mathematics
   schema:about <http://experiment.worldcat.org/entity/work/data/1167168690#Thing/number_theory> ; # Number Theory
   schema:about <http://dewey.info/class/512.7/e23/> ;
   schema:about <http://id.loc.gov/authorities/subjects/sh85093222> ; # Number theory
   schema:about <http://experiment.worldcat.org/entity/work/data/1167168690#Thing/algebraic_geometry> ; # Algebraic Geometry
   schema:about <http://id.loc.gov/authorities/subjects/sh85054140> ; # Geometry, algebraic
   schema:about <http://id.loc.gov/authorities/subjects/sh85082139> ; # Mathematics
   schema:contributor <http://experiment.worldcat.org/entity/work/data/1167168690#Person/pei_dingyi> ; # Dingyi Pei
   schema:creator <http://experiment.worldcat.org/entity/work/data/1167168690#Person/wang_xueli> ; # Xueli Wang
   schema:datePublished "2012" ;
   schema:description "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" ;
   schema:description ""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." ;
   schema:exampleOfWork <http://worldcat.org/entity/work/id/1167168690> ;
   schema:inLanguage "en" ;
   schema:isSimilarTo <http://worldcat.org/entity/work/data/1167168690#CreativeWork/modular_forms_with_integral_and_half_integral_weights_texte_imprime> ;
   schema:name "Modular Forms with Integral and Half-Integral Weights" ;
   schema:productID "863598849" ;
   schema:publication <http://www.worldcat.org/title/-/oclc/863598849#PublicationEvent/berlin_heidelberg_springer_berlin_heidelberg_springer_e_books_imprint_springer_springer_e_books_2012> ;
   schema:publisher <http://experiment.worldcat.org/entity/work/data/1167168690#Agent/springer_berlin_heidelberg> ; # Springer Berlin Heidelberg
   schema:publisher <http://experiment.worldcat.org/entity/work/data/1167168690#Agent/imprint_springer> ; # Imprint: Springer
   schema:publisher <http://experiment.worldcat.org/entity/work/data/1167168690#Agent/springer_e_books> ; # Springer e-books
   schema:workExample <http://worldcat.org/isbn/9783642293023> ;
   wdrs:describedby <http://www.worldcat.org/title/-/oclc/863598849> ;
    .


Related Entities

<http://experiment.worldcat.org/entity/work/data/1167168690#Agent/imprint_springer> # Imprint: Springer
    a bgn:Agent ;
   schema:name "Imprint: Springer" ;
    .

<http://experiment.worldcat.org/entity/work/data/1167168690#Agent/springer_berlin_heidelberg> # Springer Berlin Heidelberg
    a bgn:Agent ;
   schema:name "Springer Berlin Heidelberg" ;
    .

<http://experiment.worldcat.org/entity/work/data/1167168690#Agent/springer_e_books> # Springer e-books
    a bgn:Agent ;
   schema:name "Springer e-books" ;
    .

<http://experiment.worldcat.org/entity/work/data/1167168690#Place/berlin_heidelberg> # Berlin, Heidelberg
    a schema:Place ;
   schema:name "Berlin, Heidelberg" ;
    .

<http://experiment.worldcat.org/entity/work/data/1167168690#Thing/algebraic_geometry> # Algebraic Geometry
    a schema:Thing ;
   schema:name "Algebraic Geometry" ;
    .

<http://experiment.worldcat.org/entity/work/data/1167168690#Thing/functions_of_a_complex_variable> # Functions of a Complex Variable
    a schema:Thing ;
   schema:name "Functions of a Complex Variable" ;
    .

<http://id.loc.gov/authorities/subjects/sh85052356> # Functions of complex variables
    a schema:Intangible ;
   schema:name "Functions of complex variables" ;
    .

<http://id.loc.gov/authorities/subjects/sh85054140> # Geometry, algebraic
    a schema:Intangible ;
   schema:name "Geometry, algebraic" ;
    .

<http://id.loc.gov/authorities/subjects/sh85082139> # Mathematics
    a schema:Intangible ;
   schema:name "Mathematics" ;
    .

<http://id.loc.gov/authorities/subjects/sh85093222> # Number theory
    a schema:Intangible ;
   schema:name "Number theory" ;
    .

<http://worldcat.org/entity/work/data/1167168690#CreativeWork/modular_forms_with_integral_and_half_integral_weights_texte_imprime>
    a schema:CreativeWork ;
   rdfs:label "Modular Forms with Integral and Half-Integral Weights [Texte imprimé]" ;
   schema:isSimilarTo <http://www.worldcat.org/oclc/863598849> ; # Modular Forms with Integral and Half-Integral Weights
    .

<http://worldcat.org/isbn/9783642293023>
    a schema:ProductModel ;
   schema:isbn "3642293026" ;
   schema:isbn "9783642293023" ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.