3 citations · 9 across the 9 of their papers we have counts for
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Lower bounds on the coefficients of Ehrhart polynomials
Martin Henk, Makoto Tagami
We present lower bounds for the coefficients of Ehrhart polynomials of convex lattice polytopes in terms of their volume. Concerning the coefficients of the Ehrhart series of a lat…
Representing simple d-dimensional polytopes by d polynomials
Gennadiy Averkov, Martin Henk
A polynomial representation of a convex d-polytope P is a finite set \{p_1(x),...,p_n(x)\} of polynomials over E^d such that P=\setcond{x \in \E^d}{p_1(x) \ge 0 {for every} 1 \le i…
A Blichfeldt-type inequality for the surface area
Martin Henk, Joerg M. Wills
In 1921 Blichfeldt gave an upper bound on the number of integral points contained in a convex body in terms of the volume of the body. More precisely, he showed that $#(K\cap\Z^n)\…
Notes on the roots of Steiner polynomials
Martin Henk, María A. Hernández Cifre
We study the location and the size of the roots of Steiner polynomials of convex bodies in the Minkowski relative geometry. Based on a problem of Teissier on the intersection numbe…