Seaweed algebras and the index statistic for partitions

DOI10.1016/j.jmaa.2023.127544arXiv2112.09269MaRDI QIDQ6136374

William Craig

Publication date: 29 August 2023

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.09269

zbMATH Keywords

circle methodseaweed algebrasnon-negative coefficientsindex of partitions

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Structure theory for Lie algebras and superalgebras (17B05) Analytic theory of partitions (11P82)

Related Items (2)

A note on the equidistribution of 3-colour partitions ⋮ Nonmodular infinite products and a conjecture of Seo and Yee

Cites Work

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• Statistics on partitions arising from seaweed algebras
• On the number of parts in congruence classes for partitions into distinct parts
• Index of seaweed algebras and integer partitions
• Nonmodular infinite products and a conjecture of Seo and Yee
• Distributions on partitions arising from Hilbert schemes and hook lengths
• On a Tauberian theorem of Ingham and Euler-Maclaurin summation

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