English

Overpartitions Identities Involving Gaps and Weights

Combinatorics 2017-04-21 v1

Abstract

In this paper, we find an identity which connects the overpartition function and the function of Rogers--Ramanujan--Gordon type overpartitions by considering the weights and gaps. This identity can be seen as an analogue of the weighted identity of Alladi.

Keywords

Cite

@article{arxiv.1704.06137,
  title  = {Overpartitions Identities Involving Gaps and Weights},
  author = {Jeremy J. F. Guo and Doris D. M. Sang and Diane Y. H. Shi},
  journal= {arXiv preprint arXiv:1704.06137},
  year   = {2017}
}
R2 v1 2026-06-22T19:22:34.091Z