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.
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The research work of the first author was partially supported by the DST-SERB Grant No. CRG/2020/004147.
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Meher, J., Singh, S.K. Structure of Hermitian modular forms modulo p and some applications. Res. number theory 7, 52 (2021). https://doi.org/10.1007/s40993-021-00280-y
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DOI: https://doi.org/10.1007/s40993-021-00280-y