Counterexamples of the conjecture on roots of Ehrhart polynomials

preprint2011arXivOpen access

An outstanding conjecture on roots of Ehrhart polynomials says that all roots $α$ of the Ehrhart polynomial of an integral convex polytope of dimension $d$ satisfy $-d \leq \Re(α) \leq d-1$ . In this paper, we suggest some counterexamples of this conjecture.

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Counterexamples of the conjecture on roots of Ehrhart polynomials

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