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arxiv: math/0411457 · v1 · submitted 2004-11-20 · 🧮 math.CO

The Weighted Euler-Maclaurin Formula for a simple integral polytope

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keywords integraleuler-maclaurinformulapolytopesimpleremainderweightedfunction
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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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