Congruences between Siegel modular forms II

Ramanujan Congruences for Siegel Modular Forms

We determine conditions for the existence and non-existence of Ramanujan-type congruences for Jacobi forms. We extend these results to Siegel modular forms of degree 2 and as an application, we establish Ramanujan-type congruences for explicit examples of Siegel modular forms.

Congruences between Modular Forms

1. Basics 1 1.

Higher congruences between modular forms

It is well-known that two modular forms on the same congruence subgroup and of the same weight, with coefficients in the integer ring of a number field, are congruent modulo a prime ideal in this integer ring, if the first B coefficients of the forms are congruent modulo this prime ideal, where B is an effective bound depending only on the congruence subgroup and the weight of the forms. In thi...

18 Congruences between Modular Forms

Higher Congruences Between Modular Forms

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