Remarks on MacMahon's \(q\)-series

DOI10.1016/J.JCTA.2024.105921MaRDI QIDQ6566003

Ken Ono, Ajit Singh

Publication date: 3 July 2024

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

zbMATH Keywords

partitionsoverpartitionsMacMahon's \(q\)-series

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Holomorphic modular forms of integral weight (11F11) Elementary theory of partitions (11P81)

Cites Work

• Title not available (Why is that?)
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• The algebra of generating functions for multiple divisor sums and applications to multiple zeta values
• Quasi-modularity of generalized sum-of-divisors functions
• Rank and crank moments for overpartitions
• Kontsevich's integral for the Homfly polynomial and relations between values of multiple zeta functions
• Divisors of numbers and their continuations in the theory of partitions.
• On \(q\)-analogues of two-one formulas for multiple harmonic sums and multiple zeta star values
• Overpartitions related to the mock theta function $\omega (q)$
• RANK DIFFERENCES FOR OVERPARTITIONS
• Overpartitions
• Knots and Feynman Diagrams
• MacMahon's sum-of-divisors functions, Chebyshev polynomials, and quasi-modular forms
• Dyson’s rank, overpartitions, and universal mock theta functions
• Extensions of MacMahon's sums of divisors

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