چکیده
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Let S = k[x1; : : : ; xn] be a non-standard polynomial ring over a eld k and let
M be a nitely generated graded S-module. In this paper, we investigate the behaviour
of Hilbert function of M and its relations with lattice point counting. More precisely, by
using combinatorial tools, we prove that there exists a polytope such that the image of
Hilbert function in some degree is equal to the number of lattice points of this polytope.
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