Ehrhart's volume conjecture

In the geometry of numbers, Ehrhart's volume conjecture gives an upper bound on the volume of a convex body containing only one lattice point in its interior. It is a kind of converse to Minkowski's theorem, which guarantees that a centrally symmetric convex body K {\displaystyle K} must contain a lattice point as soon as its volume exceeds 2 n {\displaystyle 2^{n}} .

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