Average order of an arithmetic function: Difference between revisions

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Precision
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<math display="block">\lim_{N \to \infty} \frac{1}{N}\sum_{n \le N} f(n)=c</math>
 
exists, it is said that <math>f</math> has a '''mean value''' ('''average value''') <math>c</math>. If in addition the constant <math>c</math> is not zero, then the constant function <math>g(x)=c</math> is an average order of <math>f</math>.
 
==Examples==