M. Neuhauser

activity

20182026

most citedRecords on the vanishing of Fourier coefficients of Powers Of the Dedekind Eta Function

10 citations · 12 across the 19 of their papers we have counts for

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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 $η$ -function, are Hurwitz polynomials e…

math.CO2026

Submultiplicative Polynomials in Combinatorics

Krystian Gajdzica, Bernhard Heim, Markus Neuhauser +1

For normalized sequences $(g (n))_{n \in N}$ we consider recursively defined polynomials $P_{n}^{g} (x)$ . In this paper we study their submultiplicative property, viewe…

math.CO2026

Dominant Zeros of Nekrasov--Okounkov Polynomials

Bernhard Heim, Markus Neuhauser, with an appendix by Ken Ono

We give an exact finite-dimensional Perron--Frobenius realization of the dominant zero of the Nekrasov--Okounkov polynomials $\nop _n(z)$. For a normalized positive sequence $h=(h(…

math.CO2026

Polynomization of Sun's Conjecture

Bernhard Heim und Markus Neuhauser

Let $p (n)$ denote the number of partitions of a natural number $n$ . As $n \to \infty$ , the $n$ th root of $p (n)$ tends to $1$ , which is related to the Cauchy--Hadamard test for pow…