Some Characterizations of Specially Multiplicative Functions
نویسنده
چکیده
A multiplicative function f is said to be specially multiplicative if there is a completelymultiplicative function fA such that f(m)f(n)= ∑ d|(m,n) f (mn/d)fA(d) for allm andn. For example, the divisor functions and Ramanujan’s τ-function are specially multiplicative functions. Some characterizations of specially multiplicative functions are given in the literature. In this paper, we provide some further characterizations of specially multiplicative functions.
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