English

Asymptotics for rank partition functions

Number Theory 2007-08-07 v1

Abstract

In this paper, we obtain asymptotic formulas for an infinite class of rank generating functions. As an application, we solve a conjecture of Andrews and Lewis on inequalities between certain ranks.

Keywords

Cite

@article{arxiv.0708.0691,
  title  = {Asymptotics for rank partition functions},
  author = {Kathrin Bringmann},
  journal= {arXiv preprint arXiv:0708.0691},
  year   = {2007}
}

Comments

19 pages Transactions of the AMS, accepted for publication

R2 v1 2026-06-21T09:04:59.703Z