Mock modularity of the M-d-rank of overpartitions

Citeable URL: https://ir.library.oregonstate.edu/concern/articles/w3763d051

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Attribute Name	Values
Creator	Jennings-Shaffer, Chris Swisher, Holly
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.
License	Attribution 4.0 (CC BY 4.0)
Resource Type	Article
DOI	https://doi.org/10.1016/j.jmaa.2018.06.018
Date Issued	2018-10-15
Journal Title	Journal of Mathematical Analysis and Applications
Journal Volume	466
Rights Statement	In Copyright
Language	English [eng]
ISSN	0022-247X

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2019-02-25

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