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20062015
most citedComputation of the highest coefficients of weighted Ehrhart quasi-polynomials of rational polyhedra

5 citations · 7 across the 4 of their papers we have counts for

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math.CA2015

Local asymptotic Euler-Maclaurin expansion for Riemann sums over a semi-rational polyhedron

Nicole Berline, Michele Vergne

Consider the Riemann sum of a smooth compactly supported function h(x) on a polyhedron in R^d, sampled at the points of the lattice Z^d/t. We give an asymptotic expansion when t go…