Characterization of log n
Imre Kátai · Birkhäuser Basel eBooks · 1983
A complex-valued function f(n) of a positive integer is said to be restrictedly additive (or, simply, additive) if (n 1, n 2)=1 implies f(n 1 n 2) =f(n 1) + f(n 2). If this equation is satisfied for any pair of integers n 1, n 2 then we say that f(n) is completely (or totally) additive.