\(k\)-regular partitions and overpartitions with bounded part differences

DOI10.1007/s11139-020-00311-9zbMath1478.05010OpenAlexW3085308071MaRDI QIDQ2052855

Bernard L. S. Lin, Saisai Zheng

Publication date: 29 November 2021

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-020-00311-9

zbMATH Keywords

overpartitioncombinatorial proof\(k\)-regular partition\((q, z)\)-overGaussian polynomialsdifference between largest and smallest part

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• 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 \(q\)-binomial coefficients. II: Combinatorial proofs and \((q,t)\)-log concavity
• Overpartitions with bounded part differences
• Refinements of the results on partitions and overpartitions with bounded part differences
• An overpartition analogue of partitions with bounded differences between largest and smallest parts
• q-identities of Auluck, Carlitz, and Rogers
• Partitions with fixed differences between largest and smallest parts
• PARTITIONS WITH AN ARBITRARY NUMBER OF SPECIFIED DISTANCES
• GENERALISATION OF A RESULT ON DISTINCT PARTITIONS WITH BOUNDED PART DIFFERENCES
• A curious identity and its applications to partitions with bounded part differences

This page was built for publication: \(k\)-regular partitions and overpartitions with bounded part differences