Ehrhart polynomials with negative coefficients

Takayuki Hibi, Akihiro Higashitani, Akiyoshi Tsuchiya +1

It is shown that, for each $d\ge 4$, there exists an integral convex polytope $\mathcal{P}$ of dimension $d$ such that each of the coefficients of $n,n^2,\dots ,n^{d-2}$ of…