English

Asymptotic formulae for partition ranks

Number Theory 2015-10-01 v1 Combinatorics

Abstract

Using an extension of Wright's version of the circle method, we obtain asymptotic formulae for partition ranks similar to formulae for partition cranks which where conjectured by F. Dyson and recently proved by the first author and K. Bringmann.

Keywords

Cite

@article{arxiv.1406.6848,
  title  = {Asymptotic formulae for partition ranks},
  author = {Jehanne Dousse and Michael H. Mertens},
  journal= {arXiv preprint arXiv:1406.6848},
  year   = {2015}
}
R2 v1 2026-06-22T04:47:53.238Z