English

The Erdos-Moser sum-free set problem

Classical Analysis and ODEs 2019-11-07 v3 Combinatorics

Abstract

We show that if A is a finite set of integers then it has a subset S of size \log^{1+c} |A| (c>0 absolute) such that s+s' is never in A when s and s' are distinct elements of S.

Keywords

Cite

@article{arxiv.1804.03356,
  title  = {The Erdos-Moser sum-free set problem},
  author = {Tom Sanders},
  journal= {arXiv preprint arXiv:1804.03356},
  year   = {2019}
}

Comments

47 pages. Corrections and clarifications

R2 v1 2026-06-23T01:18:53.700Z