Jang, Min-Joo and Kim, Byungchan (2018). On spt-crank-type functions. Ramanujan J., 45 (1). S. 211 - 226. DORDRECHT: SPRINGER. ISSN 1572-9303

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Abstract

In a recent paper, Andrews, Dixit, and Yee introduced a new spt-type function spt(omega)(n), which is closely related to Ramanujan's third-order mock theta function(omega)(q). Garvan and Jennings-Shaffer introduced a crank function which explains congruences for spt(omega)(n). In this article, we study the asymptotic behavior of this crank function and confirm a positivity conjecture of the crank asymptotically. We also study a sign pattern of the crank and congruences for spt(omega)(n).

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Jang, Min-JooUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Kim, ByungchanUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
URN: urn:nbn:de:hbz:38-204552
DOI: 10.1007/s11139-016-9838-5
Journal or Publication Title: Ramanujan J.
Volume: 45
Number: 1
Page Range: S. 211 - 226
Date: 2018
Publisher: SPRINGER
Place of Publication: DORDRECHT
ISSN: 1572-9303
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
SMALLEST PARTS; OVERPARTITIONS; PARTITION; RANK; ASYMPTOTICS; CONGRUENCES; ANDREWS; MOMENTS; NUMBERMultiple languages
MathematicsMultiple languages
Refereed: Yes
URI: http://kups.ub.uni-koeln.de/id/eprint/20455

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