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ON THE DISTRIBUTION OF THE RANK STATISTIC FOR STRONGLY CONCAVE COMPOSITIONS
Published online by Cambridge University Press: 13 February 2019
Abstract
A strongly concave composition of $n$ is an integer partition with strictly decreasing and then increasing parts. In this paper we give a uniform asymptotic formula for the rank statistic of a strongly concave composition introduced by Andrews et al. [‘Modularity of the concave composition generating function’, Algebra Number Theory7(9) (2013), 2103–2139].
MSC classification
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 100 , Issue 2 , October 2019 , pp. 230 - 238
- Copyright
- © 2019 Australian Mathematical Publishing Association Inc.
Footnotes
This research was supported by the National Science Foundation of China (Grant No. 11571114).
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