Jang, Min-Joo and Kim, Byungchan (2018). On spt-crank-type functions. Ramanujan J., 45 (1). S. 211 - 226. DORDRECHT: SPRINGER. ISSN 1572-9303
Full text not available from this repository.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: |
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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 | ||||||||||||
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Refereed: | Yes | ||||||||||||
URI: | http://kups.ub.uni-koeln.de/id/eprint/20455 |
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