Abstract
Abstract We characterize all cusp forms among the degree two Siegel modular forms by the growth of their Fourier coefficients. We also give a similar result for Jacobi forms over the group SL 2 ( ℤ ) ⋉ ℤ 2 $\mathrm {SL}_{2}(\mathbb {Z}) \ltimes \mathbb {Z}^2$ .
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