Theta Functions and Their Transformation Formulae

Xueli Wang () and Dingyi Pei ()
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Xueli Wang: South China Normal University, Department of Mathematics
Dingyi Pei: Guangzhou University, Institute of Mathematics and Information Science

Chapter Chapter 1 in Modular Forms with Integral and Half-Integral Weights, 2012, pp 1-11 from Springer

Abstract: Abstract In this chapter, we introduce theta functions of positive definite quadratic forms and study their transformation properties under the action of the modular group.

Date: 2012
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DOI: 10.1007/978-3-642-29302-3_1

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