Distribution properties for \(t\)-hooks in partitions

DOI10.1007/s00026-021-00547-2zbMath1472.05015arXiv2006.13446OpenAlexW3180794945MaRDI QIDQ1981002

William Craig, Anna Y. Pun

Publication date: 9 September 2021

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

Full work available at URL: https://arxiv.org/abs/2006.13446

zbMATH Keywords

hook lengths of Ferrers-Young diagramsRademacher circle method

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83)

Related Items (3)

Distributions on partitions arising from Hilbert schemes and hook lengths ⋮ ON THE NUMBER OF 2-HOOKS AND 3-HOOKS OF INTEGER PARTITIONS ⋮ Asymptotic equidistribution for partition statistics and topological invariants

Cites Work

• The Nekrasov-Okounkov hook length formula: refinement, elementary proof, extension and applications
• On the polynomial Szemerédi theorem in finite fields
• Defect zero blocks for finite simple groups
• Partitions with a Restriction on the Multiplicity of the Summands
• The Hook Graphs of the Symmetric Group
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