The values of arithmetical functions may function widely. For example
but
can be arbitrarily large. It is often more useful to study a mean of the fuction. One such is defined as
Example
The mean of
where
is given by
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The values of arithmetical functions may function widely. For examplebutcan be arbitrarily large. It is often more useful to study a mean of the fuction. One such is defined as
Example
The mean ofwhereis given by