Linked partition ideals and Kanade--Russell conjectures
Number Theory
2020-03-11 v3 Combinatorics
Abstract
This paper will primarily present a method of proving generating function identities for partitions from linked partition ideals. The method we introduce is built on a conjecture by George Andrews and that those generating functions satisfy some -difference equations. We will come up with the generating functions of partitions in the Kanade--Russell conjectures to illustrate the effectiveness of this method.
Keywords
Cite
@article{arxiv.1809.08655,
title = {Linked partition ideals and Kanade--Russell conjectures},
author = {Shane Chern and Zhitai Li},
journal= {arXiv preprint arXiv:1809.08655},
year = {2020}
}