English

New hook-content formulas for strict partitions

Combinatorics 2016-12-14 v2

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.

Keywords

Cite

@article{arxiv.1511.02829,
  title  = {New hook-content formulas for strict partitions},
  author = {Guo-Niu Han and Huan Xiong},
  journal= {arXiv preprint arXiv:1511.02829},
  year   = {2016}
}

Comments

16 pages

R2 v1 2026-06-22T11:40:50.792Z