arXiv:1511.02829 Abstract | arXiv Analytics

arXiv:1511.02829 [math.CO]Abstract References Reviews Resources

New hook-content formulas for strict partitions

Published 2015-11-09Version 1

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.

Comments: 15 pages

Categories: math.CO

Subjects: 05A15, 05A17, 05A19, 05E05, 05E10, 11P81

Keywords: strict partitions, hook-content formulas, difference operator, polynomiality property, hook length

Related articles: Most relevant | Search more

arXiv:2205.07322 [math.CO] (Published 2022-05-15)

Hook length and symplectic content in partitions

Tewodros Amdeberhan, George E. Andrews, Cristina Ballantine

arXiv:1511.02804 [math.CO] (Published 2015-11-09)

Difference operators for partitions under the Littlewood decomposition

Paul-Olivier Dehaye, Guo-Niu Han, Huan Xiong

arXiv:1803.06806 [math.CO] (Published 2018-03-19)