Markus Neuhauser

collaborators

3 papers

math.CO2024

Inequalities for $k$ -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 $k$ -regular partition functions…

math.CO2024

On a mod $3$ property of $ℓ$ -tuples of pairwise commuting permutations

Abdelmalek Abdesselam, Bernhard Heim, Markus Neuhauser

Let $S_{n}$ denote the symmetric group of permutations acting on $n$ elements. We investigate the double sequence ${N_{ℓ} (n)}$ counting the number of $ℓ$ tuples of elements o…

math.CO2023

Polynomization of the Bessenrodt-Ono type inequalities for A-partition functions

Krystian Gajdzica, Bernhard Heim, Markus Neuhauser

For an arbitrary set or multiset $A$ of positive integers, we associate the $A$ -partition function $p_{A} (n)$ (that is the number of partitions of $n$ whose parts belong to $A$ ). We…

Inequalities for k-regular partitions

On a mod 3 property of ℓ-tuples of pairwise commuting permutations

Polynomization of the Bessenrodt-Ono type inequalities for A-partition functions

Inequalities for $k$ -regular partitions

On a mod $3$ property of $ℓ$ -tuples of pairwise commuting permutations