Trichotomy for the HRT Conjecture for mixed integer configuration

Vignon Oussa

We consider the HRT conjecture in the mixed-integer setting, where a finite configuration in ${\mathbb{R}}^d\times {\mathbb{R}}^d$ consists of $N-1$ points in ${\mathbb{Z}}^d\times {\mathbb{Z}}^d$ and one point $(\alpha ,\beta )$ out…