The crank moments weighted by the parity of cranks

DOI10.1007/s11139-016-9828-7zbMath1432.11142OpenAlexW2529157480MaRDI QIDQ1694386

Kathy Qing Ji, Alice Xiao Hua Zhao

Publication date: 1 February 2018

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

Full work available at URL: https://doi.org/10.1007/s11139-016-9828-7

zbMATH Keywords

partitionpositivityparitycrank moments

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81)

Related Items (3)

On a generalized crank for \(k\)-colored partitions ⋮ A crank for bipartitions with designated summands ⋮ A crank of partitions with designated summands

Cites Work

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• Higher order spt-functions
• Partitions, Durfee symbols, and the Atkin-Garvan moments of ranks
• Partitions weighted by the parity of the crank
• The ranks and cranks of partitions moduli 2, 3, and 4
• Mappings and symmetries of partitions
• New Combinatorial Interpretations of Ramanujan's Partition Congruences Mod 5,7 and 11
• Dyson’s crank of a partition
• Families of quasimodular forms and Jacobi forms: The crank statistic for partitions

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