A Note on Dirichlet Convolutions
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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.
1987 ◽
Vol 101
(2)
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pp. 221-231
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1990 ◽
Vol 42
(2)
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pp. 185-189
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2015 ◽
Vol DMTCS Proceedings, 27th...
(Proceedings)
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2019 ◽
Vol 16
(2)
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pp. 377-401
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