The Euler-Maclaurin formula for simple integral polytopes

Yael Karshon, Shlomo Sternberg*, Jonathan Weitsman

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

15 Scopus citations


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 languageEnglish
Pages (from-to)426-433
Number of pages8
JournalProceedings of the National Academy of Sciences of the United States of America
Issue number2
StatePublished - 21 Jan 2003
Externally publishedYes

Cite this