Algebraic Proof for the Geometric Structure of Sumsets
نویسنده
چکیده
We consider a finite set of lattice points and their convex hull. The author previously gave a geometric proof that the sumsets of these lattice points take over the central regions of dilated convex hulls, thus revealing an interesting connection between additive number theory and geometry. In this paper, we will see an algebraic proof of this fact when the convex hull of points is a simplex, exploring the connection between additive number theory and geometry further. – Dedicated to Professor Mel Nathanson on the occasion of his 65th birthday
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