On side lengths of corners in positive density subsets of the Euclidean space

Polona Durcik, Vjekoslav Kovač, Luka Rimanić

We generalize a result by Cook, Magyar, and Pramanik [3] on three-term arithmetic progressions in subsets of ${\mathbb{R}}^d$ to corners in subsets of $\mathbb{R}^d\times\mathbb{R}^d…