Relations between the ranks and cranks of partitions

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New identities and congruences involving the ranks and cranks of partitions are proved. The proof depends on a new partial differential equation connecting their generating functions.
24 pages

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Number Theory, Combinatorics, 11P81, 11P83 (Primary) 05A17, 05A19, 11F11, 11F25, 11F33 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/64671

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0208050
 http://arxiv.org/abs/math/0208050

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arXiv