English

Partitions into parts simultaneously regular, distinct, and/or flat

Combinatorics 2019-11-13 v1

Abstract

We explore partitions that lie in the intersection of several sets of classical interest: partitions with parts indivisible by mm, appearing fewer than mm times, or differing by less than mm. We find results on their behavior and generating functions: more results for those simultaneously regular and distinct, fewest for those distinct and flat. We offer some conjectures in the area.

Keywords

Cite

@article{arxiv.1911.04755,
  title  = {Partitions into parts simultaneously regular, distinct, and/or flat},
  author = {William J. Keith},
  journal= {arXiv preprint arXiv:1911.04755},
  year   = {2019}
}

Comments

Published a few years back but not until now uploaded to the arXiv

R2 v1 2026-06-23T12:12:45.914Z