This paper demonstrates the non-vanishing of Fourier coefficients of the Dedekind eta function, suggesting deeper connections with d'Arcais polynomials.
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.
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Heim et al. (2025) studied this question.
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