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<p>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.</p>

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On the non-vanishing of the D’Arcais polynomials

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年12月17日

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  • Bernhard Heim,
  • Markus Neuhauser

摘要

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.