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Additive Function


An additive function is an arithmetic function such that whenever positive integers a and b are relatively prime,

 f(ab)=f(a)+f(b).

An example of an additive function is log_b(x), since

 log_b(xy)=log_bx+log_by.

See also

Multiplicative Function

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Cite this as:

Weisstein, Eric W. "Additive Function." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/AdditiveFunction.html

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