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math.CO2010★ 1 cited
Rational Ehrhart quasi-polynomials
Eva Linke
Ehrhart's famous theorem states that the number of integral points in a rational polytope is a quasi-polynomial in the integral dilation factor. We study the case of rational dilat…
math.MG2010★ 1 cited
Notes on lattice points of zonotopes and lattice-face polytopes
Christian Bey, Martin Henk, Matthias Henze +1
Minkowski's second theorem on successive minima gives an upper bound on the volume of a convex body in terms of its successive minima. We study the problem to generalize Minkowski'…