 Minkowski's theorem

If $\Lambda \subset {\mathbb{R}}^n$ is a full lattice and a measurable convex centrally symmetric set $C$ has volume greater than $2^n\mathrm{covol}(\Lambda )$, then $C$ contains a nonzero lattice point.

Minkowski's theorem is a fundamental result in the field of number theory and geometry, particularly in the context of convex geometry and the geometry of numbers. The theorem addresses the existence of certain lattice points within convex bodies in Euclidean space.