Let M be a graded module over K[x1,...,xn] with respect to weights w1,...,wn .
The Hilbert function HM is defined (on Z) by HM(k) := dimKMk .
The Hilbert-Poincaré series of M is the power series
where Q(t) and P(t) are polynomials with coefficients in Z.
where Q(t) is a polynomial in Z[t], the first (weighted) Hilbert series of M .
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