Asymtotics for Moments of Higher Ranks
Number Theory
2012-05-15 v1
Abstract
Bringmann, Mahlburg, and Rhoades have found asymptotic expressions for all moments of the partition statistics rank and crank. In this work we extend their methods to higher ranks. The -rank, introduced by Garvan, for odd integers T=3 is a natural generalization of the rank (T=3) and crank (T=1).
Cite
@article{arxiv.1205.2904,
title = {Asymtotics for Moments of Higher Ranks},
author = {Matthias Waldherr},
journal= {arXiv preprint arXiv:1205.2904},
year = {2012}
}