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ON THE DISTRIBUTION OF THE RANK STATISTIC FOR STRONGLY CONCAVE COMPOSITIONS

Published online by Cambridge University Press:  13 February 2019

NIAN HONG ZHOU*
Affiliation:
School of Mathematical Sciences, East China Normal University, Shanghai 200241, PR China email [email protected]
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Abstract

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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].

Type
Research Article
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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