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math.CO2005★ 1 cited
Weighted Brianchon-Gram decomposition
José Agapito
We give in this note a weighted version of Brianchon-Gram's decomposition for a simple polytope. This weighted version is a direct consequence of the ordinary Brianchon-Gram formul…
math.CO2004
The Weighted Euler-Maclaurin Formula for a simple integral polytope
Jose Agapito, Jonathan Weitsman
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…