Neighborly partitions, hypergraphs and Gordon's identities
Commutative Algebra
2023-09-26 v1 Combinatorics
Abstract
We prove a family of partition identities which is "dual" to the family of Andrews-Gordon's identities. These identities are inspired by a correspondence between a special type of partitions and "hypergraphs" and their proof uses combinatorial commutative algebra.
Cite
@article{arxiv.2309.13334,
title = {Neighborly partitions, hypergraphs and Gordon's identities},
author = {Pooneh Afsharijoo and Hussein Mourtada},
journal= {arXiv preprint arXiv:2309.13334},
year = {2023}
}