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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

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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:	Creators Email ORCID ORCID Put Code Jennings-Shaffer, Chris UNSPECIFIED UNSPECIFIED UNSPECIFIED Swisher, Holly UNSPECIFIED UNSPECIFIED UNSPECIFIED
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
Uncontrolled Keywords:	Keywords Language MAASS FORMS; IDENTITIES Multiple languages Mathematics, Applied; Mathematics Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/16935