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On congruences of Jacobi forms |
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| Authors: | Olav K. Richter |
| Affiliation: | Department of Mathematics, University of North Texas, Denton, Texas 76203 |
| Abstract: | We consider congruences and filtrations of Jacobi forms. More specifically, we extend Tate's theory of theta cycles to Jacobi forms, which allows us to prove a criterion for an analog of Atkin's  -operator applied to a Jacobi form to be nonzero modulo a prime. |
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