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<math>\text{Ave}_{n}(h)=\frac{1}{q^{n}}\sum_{f \text{ monic},\text{ deg}(f)= n}h(f)</math>.
This is the mean value (or average value) of ''h'' on the set of monic polynomials of degree ''n''. We define the mean value (or average value) of ''h'' to be
<math>\lim_{n\rightarrow\infty}\text{Ave}_{n}(h)</math> provided this limit exists.
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