On the Convex Hull of the Points on Modular Hyperbolas

Sergei V. Konyagin, Igor E. Shparlinski

Given integers $a$ and $m\ge 2$, let $\Hm$ be the following set of integral points $$ \Hm= \{(x,y) \ : \ xy \equiv a \pmod m,\ 1\le x,y \le m-1\} $$ We improve several previously k…