Nouvelles statistiques de partitions pour les q-nombres de Stirling de seconde espece

Details Nouvelles statistiques de partitions pour les q-nombres de Stirling de seconde espece Nouvelles statistiques de partitions pour les q-nombres de Stirling de seconde espece

2001-11-06

arxiv.org/abs/math/0111059v1

Mathematics

Combinatorics

13 pages

Scientific paper

Steingrimsson has recently introduced a partition analogue of
Foata-Zeilberger's mak statistic for permutations and conjectured that its
generating function is equal to the classical q-Stirling numbers of second
kind. In this paper we prove a generalization of Steingrimsson's conjecture.

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