Average order of an arithmetic function: Difference between revisions

Revision as of 06:59, 10 August 2014

Revision as of 07:01, 10 August 2014

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<math>\Lambda_{A}(f) = \begin{cases} \log |P| & \mbox{if }f=|P|^k \text{ for some prime monic} P \text{ and integer } k \ge 1, \\ 0 & \mbox{otherwise.} \end{cases}</math>

'''Proposition.''' The mean value of <math>\Lambda_{A}</math> hasis mean valueexactly <math>\log(q)</math>.

'''Proof.'''