Geodesic
Identities for Multiplicative Functions
Canadian mathematical bulletin, Tome 10 (1967) no. 1, pp. 65-73

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Throughout this paper the arithmetic functions L(n) and w(n) denote respectively the number and product of the distinct prime divisors of the integer n > 1, with L(1) = 0 and w(1) = 1. Also let We recall that an arithmetic function f(n) is said to be multiplicative if f(1) = 1 and f(mn) = f(m)f(n) whenever (m, n) = 1, where (m, n) denotes as usual the greatest common divisor of m and n. 
Subbarao, M. V.; Gioia, A. A. Identities for Multiplicative Functions. Canadian mathematical bulletin, Tome 10 (1967) no. 1, pp. 65-73. doi: 10.4153/CMB-1967-007-x
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     title = {Identities for {Multiplicative} {Functions}},
     journal = {Canadian mathematical bulletin},
     pages = {65--73},
     year = {1967},
     volume = {10},
     number = {1},
     doi = {10.4153/CMB-1967-007-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1967-007-x/}
}
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