LECTURE NOTES IN ANALYSIS (2011)
《LECTURE NOTES IN ANALYSIS (2011)》 · 第 313 页 · Section 6.4「The Geometry of Numbers」，Theorem 6.20
Minkowski's Convex Body Theorem. Let $\mathcal C$ be a convex subset of $\mathbb R^n$. If $\mathcal C$ is convex, symmetric about $0$, and has volume $v(\mathcal C)>2^n$, then $\mathcal C$ contains a point whose coordinates are integers, not all of them $0$.