Solution
= Solution
The <Poincare series of a graded module> is
$$
P_A(t)=\sum_{n\geq0}\dim_k(A_n)t^n.
$$
It is the <Poincare series of a graded module>[generating function] of the <Hilbert function> $n\mapsto\dim_kA_n$.
= Solution
The <Poincare series of a graded module> is
$$
P_A(t)=\sum_{n\geq0}\dim_k(A_n)t^n.
$$
It is the <Poincare series of a graded module>[generating function] of the <Hilbert function> $n\mapsto\dim_kA_n$.