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Article Dans Une Revue International Journal of Number Theory Année : 2009

Iterated compositions of linear operations on sets of positive upper density

Résumé

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.

Dates et versions

hal-00867365 , version 1 (29-09-2013)

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Norbert Hegyvári, François Hennecart, Alain Plagne. Iterated compositions of linear operations on sets of positive upper density. International Journal of Number Theory, 2009, 5 (6), pp.981-997. ⟨hal-00867365⟩
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