The maximum hook length of \(d\)-distinct simultaneous core partitions

DOI10.37236/11553arXiv2209.09973OpenAlexW4386542353MaRDI QIDQ6199190

Ethan Pesikoff, Janabel Xia, Benjamin Przybocki

Publication date: 23 February 2024

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.09973

zbMATH Keywords

Young diagram\(\beta\)-sets

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
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• Core partitions with distinct parts
• Simultaneous core partitions with nontrivial common divisor
• Refined counting of core partitions into \(d\)-distinct parts
• On the number of simultaneous core partitions with \(d\)-distinct parts
• On \((2 k + 1, 2 k + 3)\)-core partitions with distinct parts
• Advances in the Theory of Cores and Simultaneous Core Partitions
• Explicit expressions for the expectation, variance and higher moments of the size of a (2n + 1, 2n + 3)-core partition with distinct parts
• Core Partitions With d-Distinct Parts
• A survey on t-core partitions

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