The Weighted Euler-Maclaurin Formula for a simple integral polytope

2004/11/20 by Jose Agapito, Agapito, Jose, Jonathan Weitsman +1
Mathematics · #52B20 #65B15 #Combinatorics (math.CO) #FOS: Mathematics #math.CO #msc:52B20 #msc:65B15

paper · pdf · doi:10.48550/arxiv.math/0411457

11 pages; to appear in the Asian Journal of Mathematics

arxiv created 2004/11/20 · arxiv updated 2009/12/01

Abstract

We give an Euler-Maclaurin formula with remainder for the weighted sum of the values of a smooth function on the integral points in a simple integral polytope. Our work generalizes the formula obtained by Karshon, Sternberg and Weitsman in the ''Euler-Maclaurin with remainder for a simple integral polytope''.

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