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Line 6: == Completely additive == x An additive function ''f''(''n'') is said to be '''completely additive''' if ''f''(''ab'') = ''f''(''a'') + ''f''(''b'') holds ''for all'' positive integers ''a'' and ''b'', even when they are not ~~co-prime~~coprime. '''Totally additive''' is also used in this sense by analogy with [[totally multiplicative]] functions. If ''f'' is a completely additive function then ''f''(1) = 0. Every completely additive function is additive, but not vice versa.

Additive function: Difference between revisions