Refinements of equalities and inequalities on \(d\)-cranks for partitions with designated summands

DOI10.1007/s40840-022-01345-6zbMath1498.05031OpenAlexW4287447909MaRDI QIDQ2082363

Robert X. J. Hao, Yong Zhang

Publication date: 4 October 2022

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-022-01345-6

zbMATH Keywords

combinatorial interpretationrefinementpartition statisticCrank

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Combinatorial inequalities (05A20)

Cites Work

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• Analogues of Ramanujan's partition identities
• On the number of partitions with designated summands
• New Ramanujan-like congruences modulo powers of 2 and 3 for overpartitions
• The Crank of Partitions Mod 8, 9 and 10
• New Combinatorial Interpretations of Ramanujan's Partition Congruences Mod 5,7 and 11
• Dyson’s crank of a partition
• Partitions with designated summands

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