Work

On the non-vanishing of the D’Arcais polynomials

Year: 2025

Type: article

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.

Source: The Ramanujan Journal

DOI: 10.1007/s11139-025-01286-1

Authors: Bernhard Heim, Markus Neuhauser

Institutions: University of Cologne, RWTH Aachen University, Kutaisi International University

Language: English

Topic: Advanced Mathematical Identities

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,990

Funder: Universität zu Köln