Bijections, generalizations, and other properties of sequentially congruent partitions

DOI10.1007/s11139-023-00728-yarXiv2208.04291OpenAlexW4377826101MaRDI QIDQ6122728

Madeline Locus Dawsey, Samuel Saunders, Ezekiel Cochran, Emma Harrell

Publication date: 1 March 2024

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

Full work available at URL: https://arxiv.org/abs/2208.04291

zbMATH Keywords

partitionYoung diagrampartition idealpartition bijection

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Partition identities; identities of Rogers-Ramanujan type (11P84)

Cites Work

• Unnamed Item
• On a problem of Lehmer on partitions into squares
• Some formulae for partitions into squares
• Sequentially congruent partitions and partitions into squares
• Linked partition ideals and the Alladi-Schur theorem
• Linked partition ideals and kanade-Russell conjectures
• Linked partition ideals, directed graphs and \(q\)-multi-summations
• Sequentially congruent partitions and related bijections
• A general theory of identities of the Rogers-Ramanujan type
• On the Partition of Numbers into Squares
• Power partitions

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