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Monochromatic sums and products

Published 29 Oct 2015 in math.NT and math.CO | (1510.08733v3)

Abstract: Suppose that $\mathbb{F}_p$ is coloured with $r$ colours. Then there is some colour class containing at least $c_r p2$ quadruples of the form $(x, y , x + y, xy)$.

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Authors (2)

  1. Ben Green 
  2. Tom Sanders 

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