English

A New Series for Rogers-Ramanujan-Gordon Identities when k = 3

Combinatorics 2023-12-27 v1

Abstract

In this paper, we introduce a new series of Rogers-Ramanujan-Gordon partitions when k = 3. The combinatorial interpretation of the series is given by base partition, forward moves and backward moves. We conclude the paper with future research questions related to the generalization of this approach.

Keywords

Cite

@article{arxiv.2312.15677,
  title  = {A New Series for Rogers-Ramanujan-Gordon Identities when k = 3},
  author = {Yalçın Can Kılıç},
  journal= {arXiv preprint arXiv:2312.15677},
  year   = {2023}
}