Average order of an arithmetic function: Difference between revisions

Revision as of 15:53, 8 August 2014

Revision as of 15:57, 8 August 2014

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<math>Ave_{n}\Lambda_{A}(m)=log(q)</math>.

*====Polynomial Euler totient function====
Define [[Euler totient function]] polynomial analogue, <math>\Phi</math>, to be the number of elements in the group <math>(A/fA)^{*}</math>. We have,

<math>\sum_{\text{deg}f=n, f\text{monic}}\Phi(f)=q^{2n}(1-q^{-1})</math>