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

Authors:
Gerald Ksavrelof;Jiang Zeng
Affiliations:
Institut Girard Desargues, Universite Claude Bernard (Lyon 1), 69622 Villeurbanne Cedex, France;Institut Girard Desargues, Universite Claude Bernard (Lyon 1), 69622 Villeurbanne Cedex, France
Venue:
Discrete Mathematics
Year:
2002

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Abstract

Steingrímsson (Preprint, 1999) 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 12.