New bounds for fundamental Fourier coefficients of Siegel modular forms
Number Theory
2024-11-04 v1
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.
Keywords
Cite
@article{arxiv.2411.00450,
title = {New bounds for fundamental Fourier coefficients of Siegel modular forms},
author = {Edgar Assing},
journal= {arXiv preprint arXiv:2411.00450},
year = {2024}
}
Comments
23 pages