Hook length biases and general linear partition inequalities

DOI10.1007/s40687-023-00402-1arXiv2303.16512OpenAlexW4387166950MaRDI QIDQ6076979

Cristina M. Ballantine, Hannah Burson, William Craig, Amanda Folsom, Boya Wen

Publication date: 17 October 2023

Published in: Research in the Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2303.16512

zbMATH Keywords

partition inequalitieshook lengthdistinct partitionsodd partitionspartition asymptotics

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Analytic theory of partitions (11P82)

Cites Work

• Multiplicative properties of the number of \(k\)-regular partitions
• The Nekrasov-Okounkov hook length formula: refinement, elementary proof, extension and applications
• Asymptotically trivial linear homogeneous partition inequalities
• On the number of parts in congruence classes for partitions into distinct parts
• Random strict partitions and random shifted tableaux
• New hook-content formulas for strict partitions
• Integer partitions, probabilities and quantum modular forms
• Distributions of hook lengths divisible by two or three
• Unexpected biases between congruence classes for parts in \(k\)-indivisible partitions
• Distributions on partitions arising from Hilbert schemes and hook lengths
• STACKS (II)
• Partitions Into Odd Summands
• The size of \(t\)-cores and hook lengths of random cells in random partitions
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