Riemann sums over polytopes

2006/08/07 by Guillemin, Victor, Sternberg, Shlomo · 1 citation
#Algebraic Geometry (math.AG) #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.math/0608171

Abstract

We show that the Euler-MacLaurin formula for Riemann sums has an n-dimensional analogue in which intervals on the line get replaced by convex polytopes.

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