Dedekind-Carlitz Polynomials as Lattice-Point Enumerators in Rational Polyhedra

Matthias Beck, Christian Haase, Asia R. Matthews

We study higher-dimensional analogs of the Dedekind-Carlitz polynomials c(u,v;a,b) := sum_{k=1..b-1} u^[ka/b] v^(k-1), where u and v are indeterminates and a and b are positive int…