Euler Maclaurin with remainder for a simple integral polytope

2003/07/09 by Yael Karshon, Karshon, Yael, Shlomo Sternberg +3 · 1 citation
Mathematics · #52B20 #65B15 #Combinatorics (math.CO) #FOS: Mathematics #Symplectic Geometry (math.SG) #math.CO #math.SG #msc:52B20 #msc:65B15

paper · pdf · doi:10.48550/arxiv.math/0307125

25 pages. Also see our previous paper in Proc. Nat. Acad. Sci. 100 no. 2 (2003), 426-433. Revision: added Euler Maclaurin formulas for symbols and for polynomials

arxiv created 2004/02/04 · arxiv updated 2009/12/01

Abstract

We give an Euler Maclaurin formula with remainder for the sum of the values of a smooth function on the integral points in a simple integral polytope. This formula is proved by elementary methods.

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• Integral points and volume of integral-integral affine manifolds

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