Symmetry distribution between hook length and part length for partitions

DOI10.1016/j.disc.2009.05.012zbMath1189.05020OpenAlexW2009565710MaRDI QIDQ1045101

Christine Bessenrodt, Guo-Niu Han

Publication date: 15 December 2009

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

Full work available at URL: https://doi.org/10.1016/j.disc.2009.05.012

zbMATH Keywords

partitionshook lengthsymmetry distributionpart lengthhook type

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of partitions of integers (05A17)

Related Items (2)

An involution for symmetry of hook length and part length of pointed partitions ⋮ Colored partitions and the hooklength formula: partition statistic identities

Cites Work

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• On a partition identity
• The Nekrasov-Okounkov hook length formula: refinement, elementary proof, extension and applications
• On hooks of Young diagrams
• Hooks and powers of parts in partitions
• Combining hook length formulas and BG-ranks for partitions via the Littlewood decomposition
• An Involution of Blocks in the Partitions of n
• On an Identity Relating to Partitions and Repetitions of Parts

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