A Note on the Fourier coefficients of half-integral weight modular forms
Number Theory
2014-11-25 v3
Abstract
In this note, we show that the algebraicity of the Fourier coefficients of half-integral weight modular forms can be determined by checking the algebraicity of the first few of them. We also give a necessary and sufficient condition for a half-integral weight modular form to be in Kohnen's +-subspace by considering only finitely many terms.
Keywords
Cite
@article{arxiv.1304.6586,
title = {A Note on the Fourier coefficients of half-integral weight modular forms},
author = {Narasimha Kumar and Soma Purkait},
journal= {arXiv preprint arXiv:1304.6586},
year = {2014}
}
Comments
To appear in Archiv der Mathematik