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math.CO2018
Explicit computations of Fourier transforms of polyhedral cones
Quang-Nhat Le
The Fourier transforms of polyhedral cones can be used, via Brion's theorem, to compute various geometric quantities of polytopes, such as volumes, moments, and lattice-point count…
math.CO2018
New irrational polygons with Ehrhart-theoretic period collapse
Quang-Nhat Le
In a recent paper, Cristofaro-Gardiner--Li--Stanley [CGLS15] constructed examples of irrational triangles whose Ehrhart functions (i.e. lattice-point count) are polynomials when re…