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Ciolan, Alexandru (2019). Ranks of overpartitions: Asymptotics and inequalities. J. Math. Anal. Appl., 480 (2). SAN DIEGO: ACADEMIC PRESS INC ELSEVIER SCIENCE. ISSN 1096-0813

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Abstract

In this paper we compute asymptotics for the coefficients of an infinite class of overpartition rank generating functions. Using these results, we show that (N) over bar (a, c, n), the number of overpartitions of n with rank congruent to a modulo c, is equidistributed with respect to 0 <= a < c, for any c >= 2, as n -> infinity and, in addition, we prove some inequalities between ranks of overpartitions conjectured by Ji, Zhang and Zhao (2018), and Wei and Zhang (2018) for n = 6 and n = 10. (C) 2019 Elsevier Inc. All rights reserved.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Ciolan, Alexandru UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-124401
DOI:	10.1016/j.jmaa.2019.123444
Journal or Publication Title:	J. Math. Anal. Appl.
Volume:	480
Number:	2
Date:	2019
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 COEFFICIENTS Multiple languages Mathematics, Applied; Mathematics Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/12440