Relations between the ranks and cranks of partitions

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64671New 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 pagesNumber TheoryCombinatorics11P81, 11P83 (Primary) 05A17, 05A19, 11F11, 11F25, 11F33 (Secondary)Relations between the ranks and cranks of partitionstext