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arXiv · 1312.5590

The structure of Siegel modular forms modulo p and U(p) congruences

Martin Raum·Olav Richter
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Abstract

We determine the ring structure of Siegel modular forms of degree g modulo a prime p, extending Nagaoka's result in the case of degree g=2. We characterize U(p) congruences of Jacobi forms and Siegel modular forms, and surprisingly find different behaviors of Siegel modular forms of even and odd degrees.

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Martin Raum, Olav Richter. 2013-12-19. The structure of Siegel modular forms modulo p and U(p) congruences. https://arxiv.org/abs/1312.5590

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