On the non-vanishing of the D’Arcais polynomials
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 Żmija. We apply methods from algebraic number theory.
Authors
- Bernhard E. Heim (ORCID: https://orcid.org/0000-0001-6644-8842)
- Markus Neuhäuser (ORCID: https://orcid.org/0000-0003-4946-6648)
Institutions
- University of Cologne (DE)
- Kutaisi International University (GE)
- RWTH Aachen University (DE)
Publication Details
- Journal
- The Ramanujan Journal
- Published
- 2025-12-17
- DOI
- https://doi.org/10.1007/s11139-025-01286-1
- Primary Topic
- Advanced Mathematical Identities
- Type
- article
- Field-Weighted Citation Impact
- 0.00