A crank of partitions with designated summands

DOI10.1007/s11139-021-00462-3zbMath1482.05018OpenAlexW3186957993MaRDI QIDQ2075078

Erin Y. Y. Shen

Publication date: 11 February 2022

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

Full work available at URL: https://doi.org/10.1007/s11139-021-00462-3

zbMATH Keywords

momentscrankbijectionpartitions with designated summands

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83)

Cites Work

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• Higher order spt-functions
• On the number of partitions with designated summands
• Some results concerning partitions with designated summands
• The ranks and cranks of partitions moduli 2, 3, and 4
• The crank moments weighted by the parity of cranks
• New Ramanujan-like congruences modulo powers of 2 and 3 for overpartitions
• 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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