A Conjectural Inequality for Visible Points in Lattice Parallelograms

Gabriel Khan, Mizan R. Khan, Joydip Saha +1

Let $a,n\in {\mathbb{Z}}^{+}$, with $a<n$ and $\gcd (a,n)=1$. Let $P_{a,n}$ denote the lattice parallelogram spanned by $(1,0)$ and $(a,n)$, that is, $$P_{a,n} = \left\{ t_1(1,0)+ t_2(…