Reciprocity between partitions and compositions
Combinatorics
2021-08-11 v1 Number Theory
Abstract
In this paper, we extend the work of Andrews, Beck and Hopkins by considering partitions and compositions with bounded gaps between each pair of consecutive parts. We show that both their generating functions and two matrices determined by them satisfy certain reciprocal relations.
Keywords
Cite
@article{arxiv.2108.04363,
title = {Reciprocity between partitions and compositions},
author = {George Beck and Shane Chern},
journal= {arXiv preprint arXiv:2108.04363},
year = {2021}
}