Iterated compositions of linear operations on sets of positive upper density
Number Theory
2010-05-21 v1
Abstract
Starting from a result of Stewart, Tijdeman and Ruzsa on iterated difference sequences, we introduce the notion of iterated compositions of linear operations. We prove a general result on the stability of such compositions (with bounded coefficients) on sets of integers having a positive upper density.
Keywords
Cite
@article{arxiv.1005.3701,
title = {Iterated compositions of linear operations on sets of positive upper density},
author = {Norbert Hegyvári and Francois Hennecart and Alain Plagne},
journal= {arXiv preprint arXiv:1005.3701},
year = {2010}
}