Research in Number Theory | 2021
Structure of Hermitian modular forms modulo p and some applications
Abstract
We determine the ring structure of certain Hermitian modular forms of degree 2 modulo a prime p. As an application, we provide a criterion of not belonging in the mod p kernel of the heat operator for Hermitian cusp forms. We also provide examples of Hermitian modular forms which belong to the mod p kernel of the heat operator.