Let R be a convex region symmetrical about the origin with area greater than 4. Show that R must contain a lattice point different from the origin.(adsbygoogle = window.adsbygoogle || []).push({});

This is the 2-D case of Minkowski's theorem, right ?

How about the n-dimensional version ?

The n-dimensional version is : Given a convex region R symmetrical to the origin in the n-dimensional space.

How to show that if R has volume greater than 2^n, then R contains a lattice point different from the origin ?

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# Homework Help: Lattice points : Convex region symm. about the origin

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