title: The Euler-Maclaurin formula for simple integral polytopes.
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.
authors.affiliation: Department of Mathematics, Hebrew University of Jerusalem, Jerusalem 91904, Israel.
authors.forename: Yael
authors.initials: Y
authors.lastname: Karshon
authors.forename: Shlomo
authors.initials: S
authors.lastname: Sternberg
authors.forename: Jonathan
authors.initials: J
authors.lastname: Weitsman