English

Geometric progressions in syndetic sets

Number Theory 2020-09-17 v4

Abstract

An open problem about finite geometric progressions in syndetic sets leads to a family of diophantine equations related to the commutativity of translation and multiplication by squares.

Keywords

Cite

@article{arxiv.2003.12016,
  title  = {Geometric progressions in syndetic sets},
  author = {Melvyn B. Nathanson},
  journal= {arXiv preprint arXiv:2003.12016},
  year   = {2020}
}

Comments

4 pages; added a missing condition in the statement of Theorem 2

R2 v1 2026-06-23T14:28:22.281Z