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Line 25: * An average order of {{math\|Ω(''n'')}}, the [[Prime factors\|number of prime factors]] of {{math\|''n''}}, is {{math\|loglog ''n''}}; * The [[prime number theorem]] is equivalent to the statement that the [[von Mangoldt function]] {{math\|Λ(''n'')}} has average order 1; * An average ~~order~~value of {{math\|''μ''(''n'')}}, the [[Möbius function]], is zero; this is again equivalent to the [[prime number theorem]]. ==Calculating mean values using Dirichlet series==

Average order of an arithmetic function: Difference between revisions