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On the Non-vanishing of the D'Arcais Polynomials
Published 7 Sep 2025 in math.NT | (2509.06123v1)
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.
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