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Monochromatic products and sums in the rationals (2210.12290v1)

Published 21 Oct 2022 in math.CO, math.DS, math.LO, and math.NT

Abstract: We show that for every coloring of the rationals into finitely many colors, one of the colors contains a set of the form ${x,y,xy,x+y}$ for some nonzero $x$ and $y$.

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