paper

Glaisher's Partition problem

arXiv:2003.08220

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.

Accepted for publication in the Mathematics student journal, published by Indian Mathematical Society

Glaisher's Partition problem · wovepaper