On cranks of partitions modulo 12 and 16

DOI10.1007/S11139-023-00718-0OpenAlexW4378652317MaRDI QIDQ6060209

Julia Q. D. Du

Publication date: 3 November 2023

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

Full work available at URL: https://doi.org/10.1007/s11139-023-00718-0

zbMATH Keywords

partitionsgenerating functionscranks

Mathematics Subject Classification ID

Partitions; congruences and congruential restrictions (11P83) Partition identities; identities of Rogers-Ramanujan type (11P84)

Cites Work

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• Dyson's ranks and Appell-Lerch sums
• Ranks of partitions modulo 10
• On ranks and cranks of partitions modulo 4 and 8
• Combinations of ranks and cranks of partitions moduli 6, 9 and 12 and their comparison with the partition function
• The rank and crank of partitions modulo 3
• The Crank of Partitions Mod 8, 9 and 10
• Mock Jacobi forms in basic hypergeometric series
• New Combinatorial Interpretations of Ramanujan's Partition Congruences Mod 5,7 and 11
• Dyson’s crank of a partition
• Relations Between the Rank and the Crank Modulo 9
• Transformation properties for Dyson’s rank function
• Some properties of partitions in terms of crank
• Some Properties of Partitions
• A mock theta function identity related to the partition rank modulo 3 and 9

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