Geodesic
A Proof of an Identity for Multiplicative Functions
Canadian mathematical bulletin, Tome 22 (1979) no. 3, pp. 299-304

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An arithmetic function f is said to be multiplicative if f(mn) = f(m)f(n), whenever (m, n) = 1 and f(1) = 1. The Dirichlet convolution of two arithmetic functions f and g, denoted by f • g, is defined by f • g(n) = Σd|n f(d)g(n/d). Let w(n) denote the product of the distinct prime factors of n, with w(l) = 1. R. 
Krishna, K. A Proof of an Identity for Multiplicative Functions. Canadian mathematical bulletin, Tome 22 (1979) no. 3, pp. 299-304. doi: 10.4153/CMB-1979-036-3
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     title = {A {Proof} of an {Identity} for {Multiplicative} {Functions}},
     journal = {Canadian mathematical bulletin},
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     year = {1979},
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     number = {3},
     doi = {10.4153/CMB-1979-036-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1979-036-3/}
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