This research demonstrates new bounds on Fourier coefficients in Siegel modular forms, indicating significant implications for Jacobi forms.
We prove new bounds for the Fourier coefficients of Jacobi forms using a method of Iwaniec. In view of the Fourier–Jacobi expansion of degree two Siegel modular forms, we can use these to obtain strong bounds on fundamental Fourier coefficients of Siegel modular forms.
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Edgar Assing (2025) studied this question.
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