15 citations · 42 across the 28 of their papers we have counts for
35 papers
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…
Submultiplicative Polynomials in Combinatorics
Krystian Gajdzica, Bernhard Heim, Markus Neuhauser +1
For normalized sequences we consider recursively defined polynomials . In this paper we study their submultiplicative property, viewe…
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(…
Polynomization of Sun's Conjecture
Bernhard Heim und Markus Neuhauser
Let denote the number of partitions of a natural number . As , the th root of tends to , which is related to the Cauchy--Hadamard test for pow…
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…
Log-Concavity and Log-Convexity of Restricted Infinite Products
Krystian Gajdzica, Bernhard Heim, Markus Neuhauser
In this paper we provide a classification on the sign distribution of , where \begin{equation*} \sum_{n =0}…