Ehrhart Polynomials of Integral Simplices with Prime Volumes
نویسنده
چکیده
For an integral convex polytope P ⊂ R of dimension d, we call δ(P) = (δ0, δ1, . . . , δd) the δ-vector of P and vol(P) = ∑d i=0 δi its normalized volume. In this paper, we will establish the new equalities and inequalities on δ-vectors for integral simplices whose normalized volumes are prime. Moreover, by using those, we will classify all the possible δ-vectors of integral simplices with normalized volume 5 and 7.
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