English

Erd\H{o}s Semi-groups, arithmetic progressions and Szemer\'edi's theorem

Metric Geometry 2018-04-25 v2

Abstract

In this paper we introduce and study a certain type of sub semi-group of R/Z\mathbb{R}/\mathbb{Z} which turns out to be closely related to \sz's theorem on arithmetic progressions.

Keywords

Cite

@article{arxiv.1802.04137,
  title  = {Erd\H{o}s Semi-groups, arithmetic progressions and Szemer\'edi's theorem},
  author = {Han Yu},
  journal= {arXiv preprint arXiv:1802.04137},
  year   = {2018}
}

Comments

12 pages

R2 v1 2026-06-23T00:19:27.981Z