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