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The Euler-Maclaurin formula for simple integral polytopes. | LitMetric

The Euler-Maclaurin formula for simple integral polytopes.

Proc Natl Acad Sci U S A

Department of Mathematics, Hebrew University of Jerusalem, Jerusalem 91904, Israel.

Published: January 2003

We give a Euler-Maclaurin formula with remainder for the sum of a smooth function on the integral points in a simple integral lattice polytope. Our proof uses elementary methods.

Download full-text PDF

Source
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC141011PMC
http://dx.doi.org/10.1073/pnas.0237168100DOI Listing

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