Monochromatic products in random integer sets

Roger Lidón, Darío Martínez, Patrick Morris +1

A well-known consequence of Schur's theorem is that for $r\in \mathbb{N}$, if $n$ is sufficiently large, then any $r$-colouring of $[n]$ results in monochromatic $a,b,c\in [n]$ suc…