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Modular Forms with Integral and Half-Integral Weights

"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 orthogo...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Wang, Xueli (Autor), Pei, Dingyi (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2012.
Edición:1st ed. 2012.
Temas:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.