Siegel cusp forms of degree 2 are determined by their fundamental Fourier coefficients
Number Theory
2012-01-24 v4
Abstract
We prove that a Siegel cusp form of degree 2 for the full modular group is determined by its set of Fourier coefficients a(S) with 4 det(S) ranging over odd squarefree integers. As a key step to our result, we also prove that a classical cusp form of half-integral weight and level 4N, with N odd and squarefree, is determined by its set of Fourier coefficients a(d) with d ranging over odd squarefree integers, a result that was previously known only for Hecke eigenforms.
Keywords
Cite
@article{arxiv.1106.5110,
title = {Siegel cusp forms of degree 2 are determined by their fundamental Fourier coefficients},
author = {Abhishek Saha},
journal= {arXiv preprint arXiv:1106.5110},
year = {2012}
}
Comments
16 pages. To appear in Math. Ann