The Weighted Euler-Maclaurin Formula for a simple integral polytope

Details The Weighted Euler-Maclaurin Formula for a simple integral polytope The Weighted Euler-Maclaurin Formula for a simple integral polytope

2004-11-20

arxiv.org/abs/math/0411457v1

Mathematics

Combinatorics

11 pages; to appear in the Asian Journal of Mathematics

Scientific paper

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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