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

Voir la notice de l'article provenant de la source Cambridge University Press

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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[1] 1. Gioia, A. A., On an identity for multiplicative functions, Amer. Math. Monthly 69, (1962), pages 988-991. Google Scholar

[2] 2. Subbarao, M.V., A generating function for a class of arithmetic functions. Amer. Math. Monthly 70, (1963), pages 841-842. Google Scholar

[3] 3. Vaidyanathaswamy, R., The identical equations of the multiplicative function. Bull. Amer. Math. Soc. 36, (1930), pages 762-772. Google Scholar

[4] 4. Vaidyanathaswamy, R., The theory of multiplicative arithmetic functions. Trans. Amer. Math. Soc. 33, (1931), pages 579-662. Google Scholar

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