Abstract
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.
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Atkin, A., Garvan, F. Relations Between the Ranks and Cranks of Partitions. The Ramanujan Journal 7, 343–366 (2003). https://doi.org/10.1023/A:1026219901284
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DOI: https://doi.org/10.1023/A:1026219901284