Hook length biases in ordinary and \(t\)-regular partitions

DOI10.1016/j.jnt.2024.05.001MaRDI QIDQ6585291

Gurinder Pal Singh, Rupam Barman

Publication date: 9 August 2024

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

partition inequalitieshook lengthsregular partitions

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17) Analytic theory of partitions (11P82)

Cites Work

• The Nekrasov-Okounkov hook length formula: refinement, elementary proof, extension and applications
• New hook-content formulas for strict partitions
• Cranks and t-cores
• Modular representations of symmetric groups
• Hook length biases and general linear partition inequalities
• Hook lengths in self-conjugate partitions
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