58 citations · 69 across the 5 of their papers we have counts for
5 papers
Riemann sums over polytopes
Victor Guillemin, Shlomo Sternberg
We show that the Euler-MacLaurin formula for Riemann sums has an n-dimensional analogue in which intervals on the line get replaced by convex polytopes.
The Ehrhart Function for Symbols
Victor W. Guillemin, Shlomo Sternberg, Jonathan Weitsman
We derive an Ehrhart function for symbols from the Euler-MacLaurin formula with remainder.
Exact Euler Maclaurin formulas for simple lattice polytopes
Yael Karshon, Shlomo Sternberg, Jonathan Weitsman
Euler Maclaurin formulas for a polytope express the sum of the values of a function over the lattice points in the polytope in terms of integrals of the function and its derivative…
Euler Maclaurin with remainder for a simple integral polytope
Yael Karshon, Shlomo Sternberg, Jonathan Weitsman
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. This formula is proved by ele…
The Weyl Character Formula, the half-spin representations, and equal rank subgroups
B. Gross, B. Kostant, P. Ramond +1
Let B be a reductive Lie subalgebra of a semi-simple Lie algebra of the same rank both over the complex numbers. To each finite dimensional irreducible representation of F we…