Geodesic
Generating Functions for a Class of Arithmetic Functions
Canadian mathematical bulletin, Tome 9 (1966) no. 4, pp. 427-431

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In this note the arithmetic functions L(n) and w(n) denote respectively the number and product of the distinct prime divisors of the integer n ≥ 1, and L(l) = 0, w(l) = 1. An arithmetic function f is called multiplicative if f(1) = 1 and f(mn) = f(m)f(n) whenever (m, n) = 1. It is known ([1], [3], [4]) that every multiplicative function f satisfies the identity 1.1 
Gioia, A. A.; Subbarao, M.V. Generating Functions for a Class of Arithmetic Functions. Canadian mathematical bulletin, Tome 9 (1966) no. 4, pp. 427-431. doi: 10.4153/CMB-1966-051-9
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     author = {Gioia, A. A. and Subbarao, M.V.},
     title = {Generating {Functions} for a {Class} of {Arithmetic} {Functions}},
     journal = {Canadian mathematical bulletin},
     pages = {427--431},
     year = {1966},
     volume = {9},
     number = {4},
     doi = {10.4153/CMB-1966-051-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1966-051-9/}
}
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