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A theorem in asymptotic number theory
Published online by Cambridge University Press: 09 April 2009
Extract
Let α(n) be a multiplicative arithmetic function. H. Delange [1] has proved that if |α(n)| ≦ 1 for all n and for a certain constant ρ, , where if ρ = 1 then then . He applied this result to several problems such as uniform distribution (mod 1) of certain types of sequences.
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- Copyright © Australian Mathematical Society 1965
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