Jennings-Shaffer, Chris and Swisher, Holly (2018). Mock modularity of the M-d-rank of overpartitions. J. Math. Anal. Appl., 466 (2). S. 1144 - 1190. SAN DIEGO: ACADEMIC PRESS INC ELSEVIER SCIENCE. ISSN 1096-0813
Full text not available from this repository.Abstract
We investigate the modular properties of a new partition rank, the M-d-rank of overpartitions. In fact this is an infinite family of ranks, indexed by the positive integer d, that gives both the Dyson rank of overpartitions and the overpartition M-2-rank as special cases. The M-d-rank of overpartitions is the holomorphic part of a certain harmonic Maass form of weight 1/2. We give the exact transformation of this harmonic Maass form along with a few identities for the M-d-rank. (C) 2018 Elsevier Inc. All rights reserved.
Item Type: | Journal Article | ||||||||||||
Creators: |
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URN: | urn:nbn:de:hbz:38-169352 | ||||||||||||
DOI: | 10.1016/j.jmaa.2018.06.018 | ||||||||||||
Journal or Publication Title: | J. Math. Anal. Appl. | ||||||||||||
Volume: | 466 | ||||||||||||
Number: | 2 | ||||||||||||
Page Range: | S. 1144 - 1190 | ||||||||||||
Date: | 2018 | ||||||||||||
Publisher: | ACADEMIC PRESS INC ELSEVIER SCIENCE | ||||||||||||
Place of Publication: | SAN DIEGO | ||||||||||||
ISSN: | 1096-0813 | ||||||||||||
Language: | English | ||||||||||||
Faculty: | Unspecified | ||||||||||||
Divisions: | Unspecified | ||||||||||||
Subjects: | no entry | ||||||||||||
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Refereed: | Yes | ||||||||||||
URI: | http://kups.ub.uni-koeln.de/id/eprint/16935 |
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