The combinatorics of identities involving overpartitions with distinct parts
Combinatorics
2025-06-18 v2
Abstract
Recently, Andrews and EI Bachraoui discovered several companions for some famous -series formulas, and derived some new identities involving partitions and overpartitions with distinct parts. In this paper, we shall refine their results by the number of parts of partitions and furthermore, we will also provide the combinatorial proofs for those partition identities.
Keywords
Cite
@article{arxiv.2506.06640,
title = {The combinatorics of identities involving overpartitions with distinct parts},
author = {Haijun Li},
journal= {arXiv preprint arXiv:2506.06640},
year = {2025}
}
Comments
14 pages