Overpartitions and singular overpartitions
Combinatorics
2017-05-19 v2
Abstract
Singular overpartitions, which are defined by George Andrews, are overpartitions whose Frobenius symbols have at most one overlined entry in each row. In his paper, Andrews obtained interesting combinatorial results on singular overpartitions, one of which relates a certain type of singular overpartitions with a subclass of overpartitions. In this paper, we provide a combinatorial proof of Andrews' result, which answers to one of his open questions.
Cite
@article{arxiv.1702.04860,
title = {Overpartitions and singular overpartitions},
author = {Seunghyun Seo and Ae Ja Yee},
journal= {arXiv preprint arXiv:1702.04860},
year = {2017}
}
Comments
12 pages. Corrected typos and errors. Revised argument in subsection 3.3, results unchanged. To appear in ALLADI60 Conference Proceeding, Springer