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- W2964046241 abstract "For an n-dimensional lattice simplex Δ(1,q) with vertices given by the standard basis vectors and −q where q has positive entries, we investigate when the Ehrhart h*-polynomial for Δ(1,q) factors as a product of geometric series in powers of z. Our motivation is a theorem of Rodriguez-Villegas implying that when the h*-polynomial of a lattice polytope P has all roots on the unit circle, then the Ehrhart polynomial of P has positive coefficients. We focus on those Δ(1,q) for which q has only two or three distinct entries, providing both theoretical results and conjectures/questions motivated by experimental evidence." @default.
- W2964046241 created "2019-07-30" @default.
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- W2964046241 date "2019-02-09" @default.
- W2964046241 modified "2023-09-27" @default.
- W2964046241 title "h*-Polynomials with Roots on the Unit Circle" @default.
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- W2964046241 doi "https://doi.org/10.1080/10586458.2018.1538912" @default.
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