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math.CO2026
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…
math.CO2024
Connections between certain numbers related to derangements and -permutations
Piotr Miska, Błażej Żmija
For non-negative integer parameters define \begin{align*} \cal{D}(r,u,m,n) := \big\{\ σ\in \cal{S}_{r+n}\ \big|\ σ(x)=y \textrm{ for exactly } u \textrm{ pairs } (x,y) \t…
math.CO2024
-ary partition polynomials
Błażej Żmija
Let be a sequence of integers such that and for . In this paper we study -ary partition polynomials $(p_{M}(n,t))_{n=…