Euler-Maclaurin with remainder for a simple integral polytope

Yael Karshon; Shlomo Sternberg; Jonathan Weitsman

doi:10.1215/S0012-7094-05-13031-9

Euler-Maclaurin with remainder for a simple integral polytope

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 an Euler-Maclaurin formula with remainder for the sum of the values of a smooth function on the integral points in a simple integral polytope. We prove this formula by elementary methods.

Original language	English
Pages (from-to)	401-434
Number of pages	34
Journal	Duke Mathematical Journal
Volume	130
Issue number	3
DOIs	https://doi.org/10.1215/S0012-7094-05-13031-9
State	Published - 1 Dec 2005
Externally published	Yes

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abstract = "We give an Euler-Maclaurin formula with remainder for the sum of the values of a smooth function on the integral points in a simple integral polytope. We prove this formula by elementary methods.",

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Euler-Maclaurin with remainder for a simple integral polytope

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