English

Asymptotics of higher order ospt-functions for overpartitions

Number Theory 2014-03-27 v3 Combinatorics

Abstract

In this paper we obtain asymptotic formulas for the positive crank and rank moments for overpartitions. Moreover, we show that crank and rank moments are asymptotically equal while the difference is asymptotically positive. This indicates that there exist analogous higher ospt-functions for overpartitions, which we define.

Keywords

Cite

@article{arxiv.1402.0398,
  title  = {Asymptotics of higher order ospt-functions for overpartitions},
  author = {Jose Miguel Zapata Rolon},
  journal= {arXiv preprint arXiv:1402.0398},
  year   = {2014}
}

Comments

11 pages, introduce higher ospt functions