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

Published 19 Dec 2013 in math.NT | (1312.5590v1)

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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