BourbakiV1, Main, Exploration, bibRecord, 000F02

The Euler–Maclaurin formula for simple integral polytopes

Identifieur interne : 000F02 ( Main/Exploration ); précédent : 000F01; suivant : 000F03

The Euler–Maclaurin formula for simple integral polytopes

Auteurs : Yael Karshon [Israël, Canada] ; Shlomo Sternberg [États-Unis] ; Jonathan Weitsman [États-Unis]

Source :

Proceedings of the National Academy of Sciences of the United States of America [ 0027-8424 ] ; 2003.

RBID : PMC:141011

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.

Url:

http://www.ncbi.nlm.nih.gov/pmc/articles/PMC141011

DOI: 10.1073/pnas.0237168100
PubMed: 12515861
PubMed Central: 141011

Affiliations:

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The Euler–Maclaurin formula for simple integral polytopes

The Euler–Maclaurin formula for simple integral polytopes

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