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