Monochromatic sums and products
Discrete analysis (2016)
Cet article a éte moissonné depuis la source Scholastica
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 $(x, y , x + y, xy)$.
@article{DAS_2016_a14,
author = {Ben Green and Tom Sanders},
title = {Monochromatic sums and products},
journal = {Discrete analysis},
year = {2016},
language = {en},
url = {http://geodesic.mathdoc.fr/item/DAS_2016_a14/}
}
Ben Green; Tom Sanders. Monochromatic sums and products. Discrete analysis (2016). http://geodesic.mathdoc.fr/item/DAS_2016_a14/