English

On the distribution of rank statistic for strongly concave compositions

Number Theory 2019-03-05 v2 Combinatorics

Abstract

A strongly concave composition of nn is an integer partition with strictly decreasing and increasing parts. In this paper we give a uniform asymptotic formula for the rank statistic of a strongly concave composition introduced by Andrews, Rhoades and Zwegers ['Modularity of the concave composition generating function', Algebra \& Number Theory 7 (2013), no. 9, 2103--2139].

Keywords

Cite

@article{arxiv.1810.12493,
  title  = {On the distribution of rank statistic for strongly concave compositions},
  author = {Nian Hong Zhou},
  journal= {arXiv preprint arXiv:1810.12493},
  year   = {2019}
}