Legendre theorems for subclasses of overpartitions

DOI10.1016/j.jcta.2016.06.011zbMath1343.05027OpenAlexW2509156656MaRDI QIDQ739385

Ae Ja Yee, George E. Andrews

Publication date: 18 August 2016

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

Full work available at URL: https://doi.org/10.1016/j.jcta.2016.06.011

zbMATH Keywords

overpartitionsEuler's pentagonal number theoremspt-functions

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81)

Related Items (2)

THEOREMS OF LEGENDRE TYPE FOR OVERPARTITIONS ⋮ Statistics on partitions arising from seaweed algebras

Cites Work

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• Exotic Bailey-Slater spt-functions. I: Group A.
• Higher order spt-functions
• Partition bijections, a survey
• Partitions associated with the Ramanujan/Watson mock theta functions \(\omega(q)\), \(\nu(q)\) and \(\phi(q)\)
• Rank and crank moments for overpartitions
• A combinatorial proof of the Rogers--Ramanujan and Schur identities
• Two theorems of Gauss and allied identities proved arithmetically
• Rank and conjugation for the Frobenius representation of an overpartition
• Exotic Bailey-Slater spt-functions. II: Hecke-Rogers-type double sums and Bailey pairs from groups A, C, E
• Congruences for Andrews’ spt-function modulo powers of $5$, $7$ and $13$
• The spt-crank for overpartitions
• M₂-rank differences for overpartitions
• Exotic Bailey–Slater spt-functions III: Bailey pairs from groups B, F, G, and J
• The number of smallest parts in the partitions of n
• Overpartitions
• Congruences for the Andrews spt function
• Further Identities of the Rogers-Ramanujan Type

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