Geodesic
Footnote to a Formula of Gioia and Subbarao
Canadian mathematical bulletin, Tome 10 (1967) no. 5, pp. 749-750

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Recently Gioia and Subbarao [2] studied essentially the following problem: If g(n) is an arithmetic function, and , then what is the behaviour of H(a, n) defined for each fixed integer a ≥ 2 by 1 By using Vaidyanathaswamy′s formula [e.g., 1], they obtain an explicit formula for H(a, n) in case g(n) is positive and completely multiplicative (Formula 2.2 of [2]). However, Vaidyanathaswamy′s formula is unnecessary to the proof of this result, which indeed follows more simply without its use, by exploiting a simple idea used earlier by Subbarao [3] (referred to also in the course of [2]). 
Segal, S. L. Footnote to a Formula of Gioia and Subbarao. Canadian mathematical bulletin, Tome 10 (1967) no. 5, pp. 749-750. doi: 10.4153/CMB-1967-080-6
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     author = {Segal, S. L.},
     title = {Footnote to a {Formula} of {Gioia} and {Subbarao}},
     journal = {Canadian mathematical bulletin},
     pages = {749--750},
     year = {1967},
     volume = {10},
     number = {5},
     doi = {10.4153/CMB-1967-080-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1967-080-6/}
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