Ramanujan's theta functions and parity of parts and cranks of partitions

DOI10.1007/s00026-022-00615-1OpenAlexW4307244306MaRDI QIDQ6065684

Koustav Banerjee, Manosij Ghosh Dastidar

Publication date: 15 November 2023

Published in: Annals of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://epub.jku.at/doi/10.1007/s00026-022-00615-1

zbMATH Keywords

partitionsRamanujan's theta functionscranksparity of parts

Mathematics Subject Classification ID

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

Cites Work

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• Partitions weighted by the parity of the crank
• The ranks and cranks of partitions moduli 2, 3, and 4
• Integer partitions with even parts below odd parts and the mock theta functions
• A Stanley-Elder theorem on cranks and Frobenius symbols
• Partitions with parts separated by parity
• Dyson's crank and the mex of integer partitions
• A note on Andrews' partitions with parts separated by parity
• Dyson’s crank of a partition
• Ramanujan's Lost Notebook

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