Publication Date:
2012-05-15
Description:
We find two involutions on partitions that lead to partition identities for Ramanujan's third-order mock theta functions (– q ) and (– 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.
Print ISSN:
0033-5606
Electronic ISSN:
1464-3847
Topics:
Mathematics