Proceedings of the 28-th International Conference on Formal Power Series and Algebraic Combinatorics
4-8 Jul 2016 Vancouver, British Columbia (Canada)
New hook-content formulas for strict partitions (extended abstract)
Guo-Niu Han  1  , Huan Xiong  2  
1 : Institut de Recherche Mathématique Avancée  (IRMA)  -  Website
université de Strasbourg, Centre National de la Recherche Scientifique : UMR7501
7 rue René-Descartes, 67084 Strasbourg Cedex, France -  France
2 : Institut für Mathematik [Zürich]  -  Website
Winterthurerstrasse 190, CH-8057 Zürich -  Suisse

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. 



  • Poster
Online user: 1