Average order of an arithmetic function: Difference between revisions

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Where the product runs over all monic irreducible polynomials ''P''.
 
For example, the product representation of the zeta function stillis as for the holdsintegers: <math>\zeta_{A}(s)=\prod_{P}(1-|P|^{-s})^{-1}</math>.
 
Unlike the classical [[zeta function]], <math>\zeta_{A}(s)</math> is very simple: