Guo-Niu Han ; Huan Xiong - New hook-content formulas for strict partitions

dmtcs:6391 - Discrete Mathematics & Theoretical Computer Science, April 22, 2020, DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016) - https://doi.org/10.46298/dmtcs.6391
New hook-content formulas for strict partitions

Authors: Guo-Niu Han 1; Huan Xiong 2

  • 1 Institut de Recherche Mathématique Avancée
  • 2 Institut für Mathematik [Zürich]

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.

https://doi.org/10.46298/dmtcs.6391
Source: HAL:hal-02168187v1
Volume: DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016)
Published on: April 22, 2020
Imported on: July 4, 2016
Keywords: [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO]
Funding:
    Source : OpenAIRE Graph
  • Combinatorics of partitions and number theoretic aspects; Funder: Swiss National Science Foundation; Code: 138906

Linked publications - datasets - softwares

Source : ScholeXplorer IsRelatedTo ARXIV 1512.04168
Source : ScholeXplorer IsRelatedTo DOI 10.48550/arxiv.1512.04168
Source : ScholeXplorer IsRelatedTo DOI 10.5802/ambp.364
  • 10.5802/ambp.364
  • 10.5802/ambp.364
  • 10.48550/arxiv.1512.04168
  • 1512.04168
Polynomiality of shifted Plancherel averages and content evaluations

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