The first infinite family of antisymmetric paramodular forms of weight 3 is constructed as Borcherds products whose first Fourier-Jacobi coefficient is a theta block.
Gritsenko, Reflective modular forms and their applications
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Antisymmetric paramodular forms of weight 3
The first infinite family of antisymmetric paramodular forms of weight 3 is constructed as Borcherds products whose first Fourier-Jacobi coefficient is a theta block.