Asymptotic formulae for partition ranks
Volume 168 / 2015
Acta Arithmetica 168 (2015), 83-100
MSC: 05A17, 11F03, 11F30, 11F50, 11P55, 11P82.
DOI: 10.4064/aa168-1-5
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.
