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math.CO2005★ 1 cited
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…
math.CO2003★ 2 cited
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…