Skip to main contentSkip to search
Episciences
Open Access Journals
Sign in(new window)
Discrete Mathematics & Theoretical Computer Science logo
Discrete Mathematics & Theoretical Computer Science
Discrete Mathematics & Theoretical Computer Science logo
Discrete Mathematics & Theoretical Computer Science
Sign in(new window)
Articles & Issues
All articlesAll accepted articlesAll volumesLast volumeSectionsSpecial issuesAuthors
About
The journalIndexing
Boards
Publish
For authorsEthical charter
Submit
Discrete Mathematics & Theoretical Computer Science logo
Contact
|
Credits
eISSN 1365-8050
|
RSS
|
Atom
Episciences
Documentation
|
Acknowledgements
|
Publishing policy
Accessibility: non-compliant
|
Legal mentions
|
Privacy statement
|
Terms of use
  1. Home > Articles & Issues >
  2. Articles >
  3. New hook-content for ...
Conference paper

New hook-content formulas for strict partitions

Guo-Niu Han (1), Huan Xiong ORCID (2)
(1) Institut de Recherche Mathématique Avancée
(2) Institut für Mathematik [Zürich]
Download article
Open on HAL
Imported on
July 4, 2016
Published on
April 22, 2020
Last modified on
March 31, 2025
Volume
DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016)
DOI
10.46298/dmtcs.6391
License
https://about.hal.science/hal-authorisation-v1
Deep Drug Discovery and Deployment
Indicators
519
Views
959
Downloads

New hook-content formulas for strict partitions

Guo-Niu Han (1), Huan Xiong ORCID (2)
(1) Institut de Recherche Mathématique Avancée
(2) Institut für Mathematik [Zürich]
Abstract
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.
Keywords
  • [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO]
Cited by

Source: OpenCitations

  • Hook length biases and general linear partition inequalities

    Research in the Mathematical Sciences

    Authors : Cristina Ballantine ORCID, Hannah E. Burson ORCID, William Craig ORCID, Amanda Folsom ORCID, Boya Wen ORCID

    Journal reference : Volume 10, 2023, pp.

    DOI : 10.1007/s40687-023-00402-1

  • Polynomiality of Plancherel averages of hook-content summations for strict, doubled distinct and self-conjugate partitions

    Journal of Combinatorial Theory Series A

    Authors : Guo-Niu Han, Huan Xiong ORCID

    Journal reference : Volume 168, 2019, pp. 50-83

    DOI : 10.1016/j.jcta.2019.05.012

  • Hook length inequalities for t-regular partitions in the t-aspects: Part II

    Research in Number Theory

    Authors : Rupam Barman ORCID, Pankaj Jyoti Mahanta ORCID, Gurinder Singh ORCID

    Journal reference : Volume 11, 2025, pp.

    DOI : 10.1007/s40993-025-00669-z

  • Hook length inequalities for t -regular partitions in the t -aspect

    Canadian Mathematical Bulletin

    Authors : Gurinder Singh ORCID, Rupam Barman ORCID

    Journal reference : Volume 69, 2025, pp. 77-88

    DOI : 10.4153/s0008439525100921

  • Hook length biases in ordinary and t-regular partitions

    Journal of Number Theory

    Authors : Gurinder Singh ORCID, Rupam Barman ORCID, Rupam Barman ORCID

    Journal reference : Volume 264, 2024, pp. 41-58

    DOI : 10.1016/j.jnt.2024.05.001

  • Difference Operators for Partitions and Some Applications

    Authors : Guo-Niu Han, Huan Xiong ORCID

    Journal reference : Volume 22, 2018, pp. 317-346

    DOI : 10.1007/s00026-018-0385-1
Preview
Loading PDF preview...