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math.NT2026
A Positive Proportion of the Reduced D'Arcais Polynomials is not Hurwitz
Steven Charlton, Bernhard Heim, Markus Neuhauser +2
Heretofore, the second and third author conjectured that the D'Arcais polynomials, related to the coefficients of the powers of the Dedekind -function, are Hurwitz polynomials e…
math.NT2023
Zeros Transfer For Recursively defined Polynomials
Bernhard Heim, Markus Neuhauser, Robert Troeger
The zeros of D'Arcais polynomials, also known as Nekrasov--Okounkov polynomials, dictate the vanishing of the Fourier coefficients of powers of the Dedekind functions. These polyno…