An overpartition analogue of partitions with bounded differences between largest and smallest parts

DOI10.1016/j.disc.2017.08.003zbMath1370.05015arXiv1702.03462OpenAlexW2952212197MaRDI QIDQ2404374

Shane Chern

Publication date: 18 September 2017

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.03462

zbMATH Keywords

overpartitionbounded differencelargest partsover \(q\)-binomial coefficientsmallest parts

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81) Partition identities; identities of Rogers-Ramanujan type (11P84)

Related Items (5)

Overpartitions with bounded part differences ⋮ Refinements of the results on partitions and overpartitions with bounded part differences ⋮ PARTITIONS WITH AN ARBITRARY NUMBER OF SPECIFIED DISTANCES ⋮ \(k\)-regular partitions and overpartitions with bounded part differences ⋮ GENERALISATION OF A RESULT ON DISTINCT PARTITIONS WITH BOUNDED PART DIFFERENCES

Uses Software

• DLMF

Cites Work

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• A polyhedral model of partitions with bounded differences and a bijective proof of a theorem of Andrews, Beck, and Robbins
• An overpartition analogue of the \(q\)-binomial coefficients
• Crystal bases of the Fock space representations and string functions
• Jagged partitions
• Partitions with fixed differences between largest and smallest parts
• Overpartitions

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