Iterated compositions of linear operations on sets of positive upper density

Norbert Hegyvári; Francois Hennecart; Alain Plagne

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arXiv · 1005.3701

Iterated compositions of linear operations on sets of positive upper density

Norbert Hegyvári·Francois Hennecart·Alain Plagne

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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.

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Norbert Hegyvári, Francois Hennecart, Alain Plagne. 2010-05-20. Iterated compositions of linear operations on sets of positive upper density. https://arxiv.org/abs/1005.3701

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