U(p) and Ramanujan-type congruences for Hermitian Jacobi forms of any index and for degree-2 Hermitian modular forms over Q(i) are characterized by the mod p filtration of heat-operator iterates, via an isomorphism with matrix-index Jacobi forms.
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Congruences in Hermitian Jacobi and Hermitian modular forms
U(p) and Ramanujan-type congruences for Hermitian Jacobi forms of any index and for degree-2 Hermitian modular forms over Q(i) are characterized by the mod p filtration of heat-operator iterates, via an isomorphism with matrix-index Jacobi forms.