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

  title={Nouvelles statistiques de partitions pour les q-nombres de Stirling de seconde esp{\`e}ce},
  author={G{\'e}rald Ksavrelof and Jiang Zeng},
  journal={Discrete Mathematics},
Steingr)5msson (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 Steingr)5msson’s Conjecture 12. R esum e Steingr)5msson (Preprint, 1999) a r) ecemment introduit un analogue en partitions de la statistique mak de Foata–Zeilberger pour les permutations et conjectur) e que leur… CONTINUE READING

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