This finite sum involving roots of unity is bounded, but why? Posted by DashDotDashDot, at math.stackexchange.com, 04 Sep 2020 For $N \in \mathbb{N}$, let $\omega := \exp(\frac{2 \pi}{N} \sqrt{-1} )$. For $k,l \in \{1, \dots, N \}$…