Jacobi Theta Functions over Number Fields |
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| Authors: | Olav K Richter Howard Skogman |
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| Institution: | (1) University of North Texas, Denton, TX, USA;(2) State University of New York, Brockport, NY, USA |
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| Abstract: | We use Jacobi theta functions to construct examples of Jacobi forms over number fields. We determine the behavior under modular transformations by regarding certain coefficients of the Jacobi theta functions as specializations of symplectic theta functions. In addition, we show how sums of those Jacobi theta functions appear as a single coefficient of a symplectic theta function. |
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| Keywords: | 2000 Mathematics Subject Classification: 11F55 11F27 11F41 |
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