Universität zu Köln

Jang, Min-Joo (2017). Asymptotic behavior of Odd-Even partitions. Electron. J. Comb., 24 (3). NEWARK: ELECTRONIC JOURNAL OF COMBINATORICS. ISSN 1077-8926

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Abstract

Andrews studied a function which appears in Ramanujan's identities. In Ramanujan's Lost Notebook, there are several formulas involving this function, but they are not as simple as the identities with other similar shape of functions. Nonetheless, Andrews found out that this function possesses combinatorial information, odd-even partition. In this paper, we provide the asymptotic formula for this combinatorial object. We also study its companion odd-even overpartitions.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Jang, Min-Joo UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-217443
Journal or Publication Title:	Electron. J. Comb.
Volume:	24
Number:	3
Date:	2017
Publisher:	ELECTRONIC JOURNAL OF COMBINATORICS
Place of Publication:	NEWARK
ISSN:	1077-8926
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language Mathematics, Applied; Mathematics Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/21744