Some $n$-space $q$-binomial theorem extensions and similar identities
Number Theory
2019-06-19 v1 Mathematical Physics
Combinatorics
math.MP
Abstract
We give an -space generalized -binomial theorem, and some new series identities that resemble the traditional series partition generating functions. These identities enumerate stepping stone weighted vector partitions.
Cite
@article{arxiv.1906.07526,
title = {Some $n$-space $q$-binomial theorem extensions and similar identities},
author = {Geoffrey B Campbell},
journal= {arXiv preprint arXiv:1906.07526},
year = {2019}
}
Comments
18 pages, including a figure illustrating a Vector Partition theorem. The 2-D version at least, and possibly other cases from this paper, have been taken up by the Physics staff in a Statistical Mechanics context and will be citing the present article