Proceedings of the 28-th International Conference on Formal Power Series and Algebraic Combinatorics
4-8 Jul 2016 Vancouver, British Columbia (Canada)
Monday 4
Combinatorics
Karen Yeats
› 17:30 - 19:00 (1h30)
› SFU Harbour Center - Segal Centre Conference Rooms 1400 - 1410
New hook-content formulas for strict partitions (extended abstract)
Guo-Niu Han  1  , Huan Xiong  2  
1 : I.R.M.A., UMR 7501, Universite ́ de Strasbourg et CNRS
IRMA, CNRS : UMR7501
7 rue Rene ́ Descartes, F-67084 Strasbourg -  France
2 : I-Math, Universita ̈t Zu ̈rich, Winterthurerstrasse
190, Zu ̈rich 8057 -  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. 



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