The integer hull of the set $\{(x,y)\in {\mathbb{R}}^2:xy\ge N\}$

Antal Balog, Imre Bárány

The integer convex hull $I(H_N)$ of the set $H_N=\{(x,y)\in {\mathbb{R}}^2:xy\ge N\}$ is the convex hull of the lattice points in $H_N$. The vertices of $I(H_N)$ lie in the square $…