New hook-content formulas for strict partitions

Abstract

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

16 pages

References in corpus (2)

• Polynomiality of some hook-content summations for doubled distinct and self-conjugate partitions
• Difference operators for partitions and some applications