Generalizations of the Andrews-Yee identities associated with the mock theta functions ω(q)and ν(q)

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dc.contributor.author Berndt, Bruce C.
dc.contributor.author Dixit, Atul
dc.contributor.author Gupta, Rajat
dc.coverage.spatial United Kingdom
dc.date.accessioned 2021-11-10T09:32:17Z
dc.date.available 2021-11-10T09:32:17Z
dc.date.issued 2021-10
dc.identifier.citation Berndt, Bruce C.; Dixit, Atul and Gupta, Rajat, "Generalizations of the Andrews-Yee identities associated with the mock theta functions ω(q) and ν(q)", Journal of Algebraic Combinatorics, DOI: 10.1007/s10801-021-01082-2, Oct. 2021. en_US
dc.identifier.issn 1572-9192
dc.identifier.issn 0925-9899
dc.identifier.uri https://doi.org/10.1007/s10801-021-01082-2
dc.identifier.uri https://repository.iitgn.ac.in/handle/123456789/7245
dc.description.abstract George Andrews and Ae Ja Yee recently established beautiful results involving bivariate generalizations of the third-order mock theta functions ω(q) and ν(q), thereby extending their earlier results with the second author. Generalizing the Andrews-Yee identities for trivariate generalizations of these mock theta functions remained a mystery, as pointed out by Li and Yang in their recent work. We partially solve this problem and generalize these identities. Several new as well as well-known results are derived. For example, one of our two main theorems gives, as a corollary, a special case of Soon-Yi Kang's three-variable reciprocity theorem. A relation between a new restricted over partition function p*(n) and a weighted partition function p*(n) is obtained from one of the special cases of our second theorem.
dc.description.statementofresponsibility by Bruce C. Berndt, Atul Dixit and Rajat Gupta
dc.language.iso en_US en_US
dc.publisher Springer en_US
dc.subject George Andrews en_US
dc.subject Ae Ja Yee en_US
dc.subject Mock theta functions en_US
dc.subject Soon-Yi Kang's three-variable reciprocity en_US
dc.title Generalizations of the Andrews-Yee identities associated with the mock theta functions ω(q)and ν(q) en_US
dc.type Article en_US
dc.relation.journal Journal of Algebraic Combinatorics


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