On the largest size of \((t, t + 1, \ldots, t + p)\)-core partitions

DOI10.1016/j.disc.2015.08.017zbMath1322.05021arXiv1410.2061OpenAlexW1801027750MaRDI QIDQ501068

Huan Xiong

Publication date: 8 October 2015

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.2061

zbMATH Keywords

partition\(t\)-corehook lengthlargest size

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17)

Related Items (13)

On the polynomiality and asymptotics of moments of sizes for random \((n,dn\pm 1)\)-core partitions with distinct parts ⋮ The average size of \((\widehat{t}, \widehat{t + 1})\)-core partitions ⋮ On \((2 k + 1, 2 k + 3)\)-core partitions with distinct parts ⋮ Advances in the Theory of Cores and Simultaneous Core Partitions ⋮ Bijections between \(t\)-core partitions and \(t\)-tuples ⋮ T-core shifted Young diagrams ⋮ Proof of a conjecture of Nath and Sellers on simultaneous core partitions ⋮ A combinatorial proof of a relationship between maximal \((2k-1,2k+1)\)-cores and \((2k-1,2k,2k+1)\)-cores ⋮ Sizes of simultaneous core partitions ⋮ On the largest sizes of certain simultaneous core partitions with distinct parts ⋮ Core partitions with distinct parts ⋮ On self-conjugate \((s,s + 1,\dots,s + k)\)-core partitions ⋮ Core Partitions With d-Distinct Parts

Cites Work

• Partitions which are simultaneously \(t_1\)- and \(t_2\)-core
• Block inclusions and cores of partitions.
• Principles of combinatorics
• Defect zero blocks for finite simple groups

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