Abstract
By Fourier-Jacobi expansion, a Siegel modular form of degree 2 gives a family of Jacobi forms of weight k and index $$0,1,2,3,\ldots$$ . By the translation formula of Siegel modular forms, these Jacobi forms have a kind of symmetry. In this paper, we give one conjecture on the Fourier-Jacobi expansion that is true for Siegel modular forms with small levels. Our conjecture is useful to show the convergence of Maass lifts and Borcherds products.
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