Neighborly partitions and the numerators of Rogers-Ramanujan identities
Combinatorics
2022-01-10 v1 Commutative Algebra
Abstract
We prove two partition identities which are dual to the Rogers-Ramanujan identities. These identities are inspired by (and proved using) a correspondence between three kinds of objects: a new type of partitions (neighborly partitions), monomial ideals and some infinite graphs.
Keywords
Cite
@article{arxiv.2201.02481,
title = {Neighborly partitions and the numerators of Rogers-Ramanujan identities},
author = {Zahraa Mohsen and Hussein Mourtada},
journal= {arXiv preprint arXiv:2201.02481},
year = {2022}
}