ON THE NUMBER OF 2-HOOKS AND 3-HOOKS OF INTEGER PARTITIONS

DOI10.1017/s0004972722000739arXiv2108.11016OpenAlexW3194026803MaRDI QIDQ6135511

Eleanor McSpirit, Kristen Scheckelhoff

Publication date: 25 August 2023

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.11016

zbMATH Keywords

partition functionabacihook-lengths

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81)

Cites Work

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• Distribution properties for \(t\)-hooks in partitions
• Cranks and t-cores
• 4-core partitions and class numbers
• Defect zero blocks for finite simple groups
• Distributions on partitions arising from Hilbert schemes and hook lengths
• A crank-based approach to the theory of 3-core partitions
• The Hook Graphs of the Symmetric Group

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