Monochromatic sums and products
classification
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math.CO
keywords
classcolourcolouredcolourscontainingformleastmathbb
read the original abstract
Suppose that $\mathbb{F}_p$ is coloured with $r$ colours. Then there is some colour class containing at least $c_r p^2$ quadruples of the form $(x, y , x + y, xy)$.
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