Ranks For Two Partition Quadruple Functions
Number Theory
2016-03-02 v2
Abstract
Recently the author introduced two new integer partition quadruple functions, which satisfy Ramanujan-type congruences modulo , , , and . Here we reprove the congruences modulo , , and by defining a rank-type statistic that gives a combinatorial refinement of the congruences.
Cite
@article{arxiv.1506.05354,
title = {Ranks For Two Partition Quadruple Functions},
author = {Chris Jennings-Shaffer},
journal= {arXiv preprint arXiv:1506.05354},
year = {2016}
}