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Modular forms with integral and half-integral weights

Autore: Xueli Wang; Dingyi Pei
Editore: Beijing : Science Press ; Heidelberg ; London : Springer, ©2012.
Edizione/Formato:   eBook : Document : EnglishVedi tutte le edizioni e i formati
Banca dati:WorldCat
Sommario:
"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  Per saperne di più…
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Genere/forma: Electronic books
Informazioni aggiuntive sul formato: Print version:
Wang, Xueli, 1963-
Modular forms with integral and half-integral weights.
Beijing : Science Press ; Heidelberg ; London : Springer, c2012
(OCoLC)809564569
Tipo materiale: Document, Risorsa internet
Tipo documento: Internet Resource, Computer File
Tutti gli autori / Collaboratori: Xueli Wang; Dingyi Pei
ISBN: 9783642293023 3642293026
Numero OCLC: 828664034
Descrizione: 1 online resource (x, 432 p.) : ill.
Contenuti: 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.
Responsabilità: Xueli Wang, Dingyi Pei.
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Abstract:

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  Per saperne di più…

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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 Per saperne di più…

 
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