New hook-content formulas for strict partitions

Guo-Niu Han (1) , Huan Xiong (2)

1 IRMA - Institut de Recherche Mathématique Avancée
2 Institut für Mathematik [Zürich]

We introduce the difference operator for functions defined on strict partitions and prove a polynomiality property for a summation involving the bar length (hook length) and content statistics. As an application, several new hook-content formulas for strict partitions are derived.

Domaines: Combinatoire [math.CO]

Guo-Niu Han, Huan Xiong. New hook-content formulas for strict partitions. 28-th International Conference on Formal Power Series and Algebraic Combinatorics, Simon Fraser University, Jul 2016, Vancouver, Canada. ⟨10.46298/dmtcs.6391⟩. ⟨hal-02168187⟩