On partitions with even parts below odd parts
Combinatorics
2017-10-25 v1 Number Theory
Abstract
Recently, Andrews gave a detailed study of partitions with even parts below odd parts in which only the largest even part appears an odd number of times. In this paper, we provide a combinatorial proof of the generating function identity of such partitions. We also have a further investigation on the largest even part. Finally, we give an interesting weighted overpartition generalization.
Keywords
Cite
@article{arxiv.1710.08507,
title = {On partitions with even parts below odd parts},
author = {Shane Chern},
journal= {arXiv preprint arXiv:1710.08507},
year = {2017}
}