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math.CO2002
Residue formulae for vector partitions and Euler-MacLaurin sums
Andras Szenes, Michele Vergne
Given a finite set of vectors spanning a lattice and lying in a halfspace of a real vector space, to each vector in this vector space one can associate a polytope consisting of…
math.CO2001
A residue theorem for rational trigonometric sums and Verlinde's formula
Andras Szenes
We present a compact formula computing rational trigonometric sums. E. Verlinde's expression for the dimension of conformal blocks in WZW theory is an example of such a sum. As an…