A bijection between ordinary partitions and self-conjugate partitions with same disparity

zbMath1436.05016MaRDI QIDQ2306482

Huh Jisun, Hyunsoo Cho, Sohn Jaebum

Publication date: 23 March 2020

Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: http://www.mat.univie.ac.at/~slc/wpapers/FPSAC2019//30.html

zbMATH Keywords

partitionhook lengthsimultaneous core partitionself-conjugate partition

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17)

Related Items (3)

Multiplication theorems for self-conjugate partitions ⋮ The \((s,s+d,\dots,s+pd)\)-core partitions and the rational Motzkin paths ⋮ Multiplication theorems for self-conjugate partitions

Cites Work

• Unnamed Item
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• Partitions which are simultaneously \(t_1\)- and \(t_2\)-core
• Some amazing facts about \(4\)-cores
• Self-conjugate \(t\)-core partitions, sums of squares, and \(p\)-blocks of \(A_n\)
• New identities for 7-cores with prescribed BG-rank
• Cranks and t-cores
• Core partitions and block coverings
• Defect zero blocks for finite simple groups
• An Enumerative Proof of An Identity of Jacobi
• Some results on $3$-cores

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