Iterated compositions of linear operations on sets of positive upper density
classification
🧮 math.NT
keywords
compositionsiterateddensitylinearoperationspositiveresultsets
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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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