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math.DG1999
Arrangements of hyperplanes I: Rational functions and Jeffrey-Kirwan residue
Michel Brion, Michele Vergne
Consider the space of rational functions of several variables with poles on a fixed arrangement of hyperplanes. We obtain a decomposition of as a module over the ri…
math.DG1999
Arrangements of hyperplanes II: Szenes formula and Eisenstein series
Michel Brion, Michele Vergne
The aim of this article is to generalize in several variables some formulae for Eisenstein series in one variable. For example the formula $2ζ(2k) = (2π)^{2k} \frac{B_{2k}}{(2k)!}…