Two partition inequalities related to the minimal excludant

DOI10.1007/s11139-023-00753-xOpenAlexW4381737070MaRDI QIDQ6139317

Bernard L. S. Lin, Xiaowei Lin

Publication date: 18 January 2024

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

Full work available at URL: https://doi.org/10.1007/s11139-023-00753-x

zbMATH Keywords

partitionsinequalitiesminimal excludant

Mathematics Subject Classification ID

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

Cites Work

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• Analysis of some new partition statistics
• Combinatorial proof of a theorem on partitions into an even or odd number of parts
• Partitions and the minimal excludant
• Combinatorial perspectives on the Crank and mex partition statistics
• Dyson's crank and the mex of integer partitions
• On partitions classified by smallest missing part
• Turning the Partition Crank
• Dyson’s crank of a partition

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