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- W2895545848 abstract "We study the Ehrhart theory of quadratic irrational polytopes that undergo vector dilations. That is, for a given polytope with vertices in $mathbb{Q}(sqrt{D})$, and a different dilation factor for each facet, we show that the leading term of the lattice-point count behaves similar to an Ehrhart polynomial, generalizing previous work of Borda on scalar dilations of quadratic irrational polytopes. As a result, a form of the Ehrhart-Macdonald reciprocity law is obtained for the leading term." @default.
- W2895545848 created "2018-10-12" @default.
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- W2895545848 date "2018-10-02" @default.
- W2895545848 modified "2023-09-27" @default.
- W2895545848 title "Lattice points in vector-dilated quadratic irrational polytopes" @default.
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