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

We determine the structure over \mathbb{Z} of the ring of symmetric Hermitian modular forms with respect to \mathbb{Q}(\sqrt{-1}) of degree 2 (with a character), whose Fourier coefficients are integers. Namely, we give a set of generators consisting of 24 modular forms. As an application of our structure theorem, we give... Show more