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arxiv: math/0602464 · v2 · submitted 2006-02-21 · 🧮 math.CO

Norm bounds for Ehrhart polynomial roots

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keywords ehrhartnormpolynomialrootsaboveappliesbeckbound
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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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