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

Zeng jiang, Ksavrelof gerald

math.COarXiv:math/0111059

Abstract

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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