Functional Equation for Theta Series

Details Functional Equation for Theta Series Functional Equation for Theta Series

2007-07-22

arxiv.org/abs/0707.3276v5

Mathematics

Number Theory

Added the detailed proof ; added 4 more references ; Removal of Remark 2.3

Scientific paper

In this short paper, we find the transformation formula for the theta series
under the action of the Jacobi modular group on the Siegel-Jacobi space. This
formula generalizes the formula (5.1) obtained by Mumford in his book[p.189,
Tata Lectures on Theta I (1983), Birkhauser].

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