Cranks---really, the final problem

DOI10.1007/s11139-008-9143-zzbMath1206.11001OpenAlexW2041374251MaRDI QIDQ618837

Heng Huat Chan, Bruce C. Berndt, Wen-Chin Liaw, Song Heng Chan

Publication date: 17 January 2011

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

Full work available at URL: https://doi.org/10.1007/s11139-008-9143-z

zbMATH Keywords

partitionscranktheta functionsrankRamanujan's lost notebook

Mathematics Subject Classification ID

Partitions; congruences and congruential restrictions (11P83) Research exposition (monographs, survey articles) pertaining to number theory (11-02) Analytic theory of partitions (11P82)

Related Items (1)

Combinatorial interpretations of congruences for the spt-function

Cites Work

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• The ranks and cranks of partitions moduli 2, 3, and 4
• Cranks and dissections in Ramanujan's lost notebook
• Note on the monotonicity of coefficients for some \(q\)-series arising from Ramanujan's lost notebook
• Ramanujan and Cranks
• The Crank of Partitions Mod 8, 9 and 10
• Some asymptotics for cranks
• New Combinatorial Interpretations of Ramanujan's Partition Congruences Mod 5,7 and 11
• Dyson’s crank of a partition
• Resolution of a conjecture of Andrews and Lewis involving cranks of partitions
• The Final Problem : An Account of the Mock Theta Functions
• The Mock Theta Functions (2)
• Some Properties of Partitions

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