@MISC{Braun06normbounds, author = {Benjamin Braun}, title = {Norm bounds for Ehrhart polynomial roots}, year = {2006} }
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Abstract
In 1, 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.