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A Note on Dirichlet Convolutions
Published online by Cambridge University Press: 20 November 2018
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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.
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- Copyright © Canadian Mathematical Society 1966