Functional Equation for Theta Series

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

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Number Theory, 11F27 (Primary); 11F37, 11F50 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/168408

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0707.3276
 http://arxiv.org/abs/0707.3276

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arXiv