Notes for Neighborly Partitions
Combinatorics
2023-07-14 v1
Abstract
A proof of the first Rogers-Ramanujan identity is given using admissible neighborly partitions. This completes a program initiated by Mohsen and Mourtada. The admissible neighborly partitions involve an unusual mod 3 condition on the parts.
Cite
@article{arxiv.2307.06786,
title = {Notes for Neighborly Partitions},
author = {Kathleen O'Hara and Dennis Stanton},
journal= {arXiv preprint arXiv:2307.06786},
year = {2023}
}