Additive function: Difference between revisions

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Multiplicative functions: ''f''(''n'')-''f''(1), <- g(1)=1
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From any additive function ''f''(''n'') it is easy to create a related [[multiplicative function]] ''g''(''n'') i.e. with the property that whenever ''a'' and ''b'' are coprime we have:
:''g''(''ab'') = ''g''(''a'') &times; ''g''(''b'').
One such example is ''g''(''n'') = 2<sup>(''f''(''n'')-''f''(1))</sup>.
 
== References ==