English

Riemann sums over polytopes

Combinatorics 2007-05-23 v1 Algebraic Geometry

Abstract

We show that the Euler-MacLaurin formula for Riemann sums has an n-dimensional analogue in which intervals on the line get replaced by convex polytopes.

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Cite

@article{arxiv.math/0608171,
  title  = {Riemann sums over polytopes},
  author = {Victor Guillemin and Shlomo Sternberg},
  journal= {arXiv preprint arXiv:math/0608171},
  year   = {2007}
}

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13 pages