The KOH terms and classes of unimodal \(N\)-modular diagrams

DOI10.1016/j.jcta.2011.06.010zbMath1232.05024arXiv1101.1475OpenAlexW2070551563MaRDI QIDQ640858

Fabrizio Zanello

Publication date: 21 October 2011

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.1475

zbMATH Keywords

unimodalitybijective proofinteger partitionGaussian polynomialFerrers diagramKathy O'Hara termKOH identityKOH termMacMahon diagrammodular diagram

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17) Many-body theory; quantum Hall effect (81V70) Elementary theory of partitions (11P81) Asymptotic enumeration (05A16)

Cites Work

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• Partition bijections, a survey
• Unimodality of Gaussian coefficients: A constructive proof
• Generalizing the Quinn--Wójs theorem on distinct multiplets of composite fermions
• Weyl Groups, the Hard Lefschetz Theorem, and the Sperner Property
• Solution of Two Difficult Combinatorial Problems with Linear Algebra
• Kathy O'Hara's Constructive Proof of the Unimodality of the Gaussian Polynomials
• Composite fermions and integer partitions

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