Theorems of Brion, Lawrence, and Varchenko on rational generating functions for cones
M. Beck, Ch. Haase, and F. Sottile.
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.
The manuscript in postscript, and in pdf.
