New bounds for fundamental Fourier coefficients of Siegel modular forms

Published 1 Nov 2024 in math.NT | (2411.00450v1)

Abstract: 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

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