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math.NT2025
On the Detection of Non-Roots of D'Arcais Polynomials
Bernhard Heim, Johann Stumpenhusen
The Lehmer conjecture states that the non-constant Fourier coefficients of the 24th power of the Dedekind eta function are non-zero. In a recent preprint, Neuhauser and the first a…
math.NT2025
On the Non-vanishing of the D'Arcais Polynomials
Bernhard Heim, Markus Neuhauser
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 polyn…