New hook-content formulas for strict partitions

DOI10.1007/s10801-016-0732-4zbMath1373.05009arXiv1511.02829OpenAlexW2139301653MaRDI QIDQ2358797

Guo-Niu Han, Huan Xiong

Publication date: 16 June 2017

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.02829

zbMATH Keywords

difference operatorscontenthook lengthshifted Young tableauxstrict partitions

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17) Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10)

Related Items

Difference operators for partitions and some applications, Difference operators for partitions under the Littlewood decomposition, Hook length biases and general linear partition inequalities, Polynomiality of certain average weights for oscillating tableaux, Polynomiality of Plancherel averages of hook-content summations for strict, doubled distinct and self-conjugate partitions

Cites Work

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• Polynomiality of some hook-length statistics
• Hook lengths and shifted parts of partitions
• Some combinatorial properties of hook lengths, contents, and parts of partitions
• The Nekrasov-Okounkov hook length formula: refinement, elementary proof, extension and applications
• An elementary proof of the hook formula
• Difference operators for partitions under the Littlewood decomposition
• Polynomiality of Plancherel averages of hook-content summations for strict, doubled distinct and self-conjugate partitions
• Plancherel averages: remarks on a paper by Stanley
• Combining hook length formulas and BG-ranks for partitions via the Littlewood decomposition
• Anisotropic Young Diagrams and Infinite-Dimensional Diffusion Processes with the Jack Parameter
• Some Conjectures and Open Problems on Partition Hook Lengths
• [https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions]
• A combinatorial problem