Glaisher's Partition problem
Combinatorics
2020-03-19 v1 Number Theory
Abstract
We generalize the well known Glaisher partition bijection result. For given positive integers n, d, both greater than 1, we provide a rich family of bijections between the set of partitions of n where at least one part is divisible by d, and the set of partitions where at least one part appears d or more times.
Cite
@article{arxiv.2003.08220,
title = {Glaisher's Partition problem},
author = {Aritro Pathak},
journal= {arXiv preprint arXiv:2003.08220},
year = {2020}
}
Comments
Accepted for publication in the Mathematics student journal, published by Indian Mathematical Society