Monochromatic products and sums in the rationals

Abstract

We show that for every coloring of the rationals into finitely many colors, one of the colors contains a set of the form $\{x,y,xy,x+y\}$ for some nonzero $x$ and $y$.

References in corpus (2)

• Monochromatic products and sums in $2$-colorings of $\mathbb{N}$
• Some New Results on Monochromatic Sums and Products in the Rationals

Cited by in corpus (1)

• Revisiting sums and products in countable and finite fields