Guo-Niu Han ; Huan Xiong
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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)
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https://doi.org/10.46298/dmtcs.6391
New hook-content formulas for strict partitionsArticle
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.
Deep Drug Discovery and Deployment; Code: PTDC/CCI-BIO/29266/2017
Combinatorics of partitions and number theoretic aspects; Funder: Swiss National Science Foundation; Code: 138906
Bibliographic References
3 Documents citing this article
Cristina Ballantine;Hannah E. Burson;William Craig;Amanda Folsom;Boya Wen, 2023, Hook length biases and general linear partition inequalities, Research in the Mathematical Sciences, 10, 4, 10.1007/s40687-023-00402-1.
Guo-Niu Han;Huan Xiong, 2019, Polynomiality of Plancherel averages of hook-content summations for strict, doubled distinct and self-conjugate partitions, Journal of Combinatorial Theory Series A, 168, pp. 50-83, 10.1016/j.jcta.2019.05.012, https://doi.org/10.1016/j.jcta.2019.05.012.