Abstract
Abstract In this paper, we first prove an isomorphism between certain spaces of Jacobi forms. Using this isomorphism, we study the mod p theory of Hermitian Jacobi forms over ℚ ( i ) {\mathbb{Q}(i)} . We then apply the mod p theory of Hermitian Jacobi forms to characterize U ( p ) {U(p)} congruences and to study Ramanujan-type congruences for Hermitian Jacobi forms and Hermitian modular forms of degree 2 over ℚ ( i ) {\mathbb{Q}(i)} .
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