Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Theorems of Brion, Lawrence, and Varchenko on rational generating
  functions for cones   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.

23
The categories of this paper are: solv-int
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The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
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The categories of this paper are: eess
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph