New bounds for fundamental Fourier coefficients of Siegel modular forms

Edgar Assing

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arXiv · 2411.00450

New bounds for fundamental Fourier coefficients of Siegel modular forms

Edgar Assing

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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. 2024-11-01. New bounds for fundamental Fourier coefficients of Siegel modular forms. https://arxiv.org/abs/2411.00450

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