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تسجيل مستخدم جديدThe distribution of roots of Ehrhart polynomials for the dual of root polytopes
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In this paper, we study the Ehrhart polynomial of the dual of the root polytope of type C of dimension $d$, denoted by $C_d^*$. We prove that the roots of the Ehrhart polynomial of $C_d^*$ have the same real part $-1/2$, and we also prove that the Ehrhart polynomials of $C_d^*$ for $d=1,2,ldots$ has the interlacing property.
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