Geodesic
A Note on Dirichlet Convolutions
Canadian mathematical bulletin, Tome 9 (1966) no. 4, pp. 457-462

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In [3] Rubel proved that if h(n) is an arithmetic function such that , L finite, then where μ(n) is the Mobius function. This result was extended to functions other than μ(n) in [4]; however, (as first pointed out to the author by Benjamin Volk), the order condition imposed there is unnecessary; in fact, utilizing the result of [3], the following slightly more general theorem has an almost trivial proof. 
Segal, S. L. A Note on Dirichlet Convolutions. Canadian mathematical bulletin, Tome 9 (1966) no. 4, pp. 457-462. doi: 10.4153/CMB-1966-055-8
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     title = {A {Note} on {Dirichlet} {Convolutions}},
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     year = {1966},
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     doi = {10.4153/CMB-1966-055-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1966-055-8/}
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