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Distributions of hook lengths divisible by two or three

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Publication:2681247
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DOI10.1016/j.jnt.2022.11.016OpenAlexW4313462251MaRDI QIDQ2681247

Hannah Lang, Hamilton Wan, Nancy Xu

Publication date: 7 February 2023

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.06486


zbMATH Keywords

partitionssymmetric groupshook lengths


Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of partitions of integers (05A17) Combinatorial probability (60C05) Analytic theory of partitions (11P82)


Related Items (1)

Hook length biases and general linear partition inequalities



Cites Work

  • Hook lengths and 3-cores
  • The Nekrasov-Okounkov hook length formula: refinement, elementary proof, extension and applications
  • Probability with Martingales
  • Defect zero blocks for finite simple groups
  • The Hook Graphs of the Symmetric Group
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