English

On sets represented by partitions

Combinatorics 2007-11-07 v1

Abstract

We prove a lemma that is useful to get upper bounds for the number of partitions without a given subsum. From this we can deduce an improved upper bound for the number of sets represented by the (unrestricted or into unequal parts) partitions of an integer n.

Keywords

Cite

@article{arxiv.0711.0897,
  title  = {On sets represented by partitions},
  author = {Jean-Christophe Aval},
  journal= {arXiv preprint arXiv:0711.0897},
  year   = {2007}
}
R2 v1 2026-06-21T09:40:24.353Z