Theorems of Brion, Lawrence, and Varchenko on rational generating functions for cones
arXiv:math/0506466
Abstract
We discuss and give elementary proofs of results of Brion and of Lawrence-Varchenko on the lattice-point enumerator generating functions for polytopes and cones. This largely expository note contains a new proof of Brion's Formula using irrational decompositions, and a generalization of the Lawrence-Varchenko formula.
Small revisions, added references