Overpartitions with bounded part differences

DOI10.1016/j.ejc.2018.01.003zbMath1384.05038arXiv1704.05191OpenAlexW2606651069MaRDI QIDQ1746588

Shane Chern, Ae Ja Yee

Publication date: 25 April 2018

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.05191

zbMATH Keywords

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

Mathematics Subject Classification ID

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

Related Items (4)

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

• Unnamed Item
• 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
• An overpartition analogue of partitions with bounded differences between largest and smallest parts
• Partitions with fixed differences between largest and smallest parts

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