2 citations · 2 across the 16 of their papers we have counts for
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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…
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}…
Bessenrodt--Ono inequalities for -tuples of pairwise commuting permutations
Abdelmalek Abdesselam, Bernhard Heim, Markus Neuhauser
Let denote the symmetric group. We consider \begin{equation*} N_{\ell}(n) := \frac{\left\vert Hom\left( \mathbb{Z}^{\ell},S_n\right) \right\vert}{n!} \end{equation*} which al…
Inequalities for Plane Partitions
Bernhard Heim, Markus Neuhauser, Robert Tröger
Inequalities are important features in the context of sequences of numbers and polynomials. The Bessenrodt--Ono inequality for partition numbers and Nekrasov--Okounkov polynomials…