English

The Weighted Euler-Maclaurin Formula for a simple integral polytope

Combinatorics 2007-05-23 v1

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''.

Keywords

Cite

@article{arxiv.math/0411457,
  title  = {The Weighted Euler-Maclaurin Formula for a simple integral polytope},
  author = {Jose Agapito and Jonathan Weitsman},
  journal= {arXiv preprint arXiv:math/0411457},
  year   = {2007}
}

Comments

11 pages; to appear in the Asian Journal of Mathematics