Norm bounds for Ehrhart polynomial roots

Details Norm bounds for Ehrhart polynomial roots Norm bounds for Ehrhart polynomial roots

2006-02-21

arxiv.org/abs/math/0602464v2

Discrete Comput. Geom. 39 (2008), no. 1-3, 191--193

Mathematics

Combinatorics

3 pages, to appear in Discrete and Computational Geometry

Scientific paper

M. Beck, J. De Loera, M. Develin, J. Pfeifle and R. Stanley found that the
roots of the Ehrhart polynomial of a d-dimensional lattice polytope are bounded
above in norm by 1+(d+1)!. We provide an improved bound which is quadratic in d
and applies to a larger family of polynomials.

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