Unlimited parity alternating partitions
Combinatorics
2018-03-06 v1
Abstract
We introduce a new type of partitions that consists of partitions whose different parts alternate in parity (e.g., ). Various properties of this partition function are studied. In particular, we obtain its asymptotic behavior by employing Ingham's Tauberian theorem.
Cite
@article{arxiv.1803.01031,
title = {Unlimited parity alternating partitions},
author = {Shane Chern},
journal= {arXiv preprint arXiv:1803.01031},
year = {2018}
}