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Exponential bounds for monochromatic sums equal to products

Published 21 Aug 2024 in math.CO | (2408.11591v1)

Abstract: We show that any $r$-coloring of ${1,...,r{r{r{3r}}}}$ contains monochromatic sets ${a,b,a+b,x,y,xy}$ with $a+b=xy.$

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