Abstract
In his paper [1], M. EICHLER proved, using the Fourier Jacobi expansion of a Siegel modular form, that the space of Siegel modular form of degree n < 4 for some specific weights k is one-dimensional. In the present note, using a similar method, we prove that the dimension of the space of Jacobi forms of degree 2 < n < 5 with index # for some specific weights is less than or equal to the dimension of the space of Jacobi forms of degree 1, index # with the corresponding weights.
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