Density theorems for rational numbers
Combinatorics
2012-12-19 v1
Abstract
Introducing the notion of a rational system of measure preserving transformations and proving a recurrence result for such systems, we give sufficient conditions in order a subset of rational numbers to contain arbitrary long arithmetic progressions.
Cite
@article{arxiv.1212.4187,
title = {Density theorems for rational numbers},
author = {Andreas Koutsogiannis},
journal= {arXiv preprint arXiv:1212.4187},
year = {2012}
}
Comments
8 pages. arXiv admin note: text overlap with arXiv:1212.3520