On the Non-vanishing of the D'Arcais Polynomials
Number Theory
2025-09-09 v1
Abstract
In this paper we invest in the non-vanishing of the Fourier coefficients of powers of the Dedekind eta function. This is reflected in non-vanishing properties of the D'Arcais polynomials. We generalize and improve results of Heim--Luca--Neuhauser and \.{Z}mija. We apply methods from algebraic number theory.
Keywords
Cite
@article{arxiv.2509.06123,
title = {On the Non-vanishing of the D'Arcais Polynomials},
author = {Bernhard Heim and Markus Neuhauser},
journal= {arXiv preprint arXiv:2509.06123},
year = {2025}
}