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A ring of symmetric Hermitian modular forms of degree 2 with integral Fourier coefficients

A ring of symmetric Hermitian modular forms of degree 2 with integral Fourier coefficients

We determine the structure over $$\mathbb {Z}$$ of a ring of symmetric Hermitian modular forms of degree 2 with integral Fourier coefficients whose weights are multiples of 4 when the base field is the Gaussian number field $$\mathbb {Q}(\sqrt{-1})$$. Namely, we give a set of generators consisting of 24 modular …