Partitions associated with the Ramanujan/Watson mock theta functions ω(q), ν(q) and φ(q)

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dc.contributor.author Andrews, George E.
dc.contributor.author Dixit, Atul
dc.contributor.author Yee, Ae Ja
dc.date.accessioned 2015-12-22T11:33:59Z
dc.date.available 2015-12-22T11:33:59Z
dc.date.issued 2015-12
dc.identifier.citation Andrews, George E.; Dixit, Atul and Yee, Ae Ja, “Partitions associated with the Ramanujan/Watson mock theta functions ω(q), ν(q) and φ(q)”, Research in Number Theory, DOI: 10.1007/s40993-015-0020-8, vol. 1, no. 1, Dec. 2015. en_US
dc.identifier.issn 2363-9555
dc.identifier.uri http://dx.doi.org/10.1007/s40993-015-0020-8
dc.identifier.uri https://repository.iitgn.ac.in/handle/123456789/2022
dc.description.abstract The generating function of partitions with repeated (resp. distinct) parts such that each odd part is less than twice the smallest part is shown to be the third order mock theta function ω(q) (resp. ν(−q)). Similar results for partitions with the corresponding restriction on each even part are also obtained, one of which involves the third order mock theta function ϕ(q). Congruences for the smallest parts partition function(s) associated to such partitions are obtained. Two analogues of the partition-theoretic interpretation of Euler’s pentagonal number theorem are also obtained. en_US
dc.description.statementofresponsibility by George E. Andrews, Atul Dixit and Ae Ja Yee
dc.format.extent Vol. 1, No. 1, pp. 1-25
dc.language.iso en_US en_US
dc.publisher Springer International Publishing en_US
dc.subject Partitions en_US
dc.subject Generating functions en_US
dc.subject Smallest parts functions en_US
dc.subject Mock theta functions en_US
dc.subject Pentagonal number theorem en_US
dc.title Partitions associated with the Ramanujan/Watson mock theta functions ω(q), ν(q) and φ(q) en_US
dc.type Article en_US
dc.relation.journal Research in Number Theory


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