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Modular forms with integral and half-integral weights

Auteur : Xueli Wang; Dingyi Pei
Éditeur : Beijing : Science Press ; Heidelberg ; London : Springer, ©2012.
Édition/format :   Livre électronique : Document : AnglaisVoir toutes les éditions et tous les formats
Base de données :WorldCat
Résumé :
"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  Lire la suite...
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Genre/forme : Electronic books
Format – détails additionnels : Print version:
Wang, Xueli, 1963-
Modular forms with integral and half-integral weights.
Beijing : Science Press ; Heidelberg ; London : Springer, c2012
(OCoLC)809564569
Type d’ouvrage : Document, Ressource Internet
Format : Ressource Internet, Fichier informatique
Tous les auteurs / collaborateurs : Xueli Wang; Dingyi Pei
ISBN : 9783642293023 3642293026
Numéro OCLC : 828664034
Description : 1 online resource (x, 432 pages) : illustrations
Contenu : 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.
Responsabilité : Xueli Wang, Dingyi Pei.
Plus d’informations :

Résumé :

Taking the theory of Eisenstein series as its core theme, this volume focuses on the fundamental principles of modular forms of one variable. With analysis of half-integral as well as integral  Lire la suite...

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From the reviews: "The reader will find a thorough introduction to many central themes in the theory of modular forms of integral and half-integral weight in one variable. ... This monograph is a Lire la suite...

 
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