Simultaneous visibility in the algebraic lattice

Rishi Kumar, Wataru Takeda

Let $K$ be a number field with ring of integers $\mathcal{O}$. Two lattice points $\mathbf{x},\mathbf{y}\in {\mathcal{O}}^m$ with $m\ge 2$ are said to be visible from one another if $\gcd((x_i…