Modular Forms with Integral and Half-Integral Weights

Xueli Wang,Dingyi Pei

doi:10.1007/978-3-642-29302-3

Modular Forms with Integral and Half-Integral Weights

Xueli Wang, Dingyi Pei

Open Access

https://doi.org/10.1007/978-3-642-29302-3

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Publication Date: Jan 1, 2012
Citations: 18	License type: other-oa

Affiliation: South China Normal University

#Integral Weight #Half-integral Weights + Show 7 more

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Abstract

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.

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