10 citations · 12 across the 19 of their papers we have counts for
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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…
Sequences with Inequalities
Bernhard Heim und Markus Neuhauser
We consider infinite sequences of positive numbers. The connection between log-concavity and the Bessenrodt--Ono inequality had been in the focus of several papers. This has applic…
Inequalities for -regular partitions
Bernhard Heim, Markus Neuhauser
We build upon the work by Bessenrodt and Ono, as well as Beckwith and Bessenrodt concerning the combined additive and multiplicative behavior of the -regular partition functions…
On a mod property of -tuples of pairwise commuting permutations
Abdelmalek Abdesselam, Bernhard Heim, Markus Neuhauser
Let denote the symmetric group of permutations acting on elements. We investigate the double sequence counting the number of tuples of elements o…