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We find two involutions on partitions that lead to partition identities for Ramanujan's third-order mock theta functions  ϕ (− q ) and  ψ (− q ). We also give an involution for Fine's partition identity on the mock theta function  f ( q ). The two classical identities of Ramanujan on third-order mock theta functions are consequences of these identities. Our combinatorial constructions also apply to Andrews’ generalizations of Ramanujan's identities.

PARTITION IDENTITIES FOR RAMANUJAN'S THIRD-ORDER MOCK THETA FUNCTIONS