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New bounds for fundamental Fourier coefficients of Siegel modular forms (2411.00450v1)
Published 1 Nov 2024 in math.NT
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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