The Euler-Maclaurin formula for simple integral polytopes

Yael Karshon; Shlomo Sternberg; Jonathan Weitsman

doi:10.1073/pnas.0237168100

The Euler-Maclaurin formula for simple integral polytopes

Yael Karshon, Shlomo Sternberg^*, Jonathan Weitsman

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	426-433
Number of pages	8
Journal	Proceedings of the National Academy of Sciences of the United States of America
Volume	100
Issue number	2
DOIs	https://doi.org/10.1073/pnas.0237168100
State	Published - 21 Jan 2003
Externally published	Yes

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The Euler-Maclaurin formula for simple integral polytopes

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