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Comportement Asymptotique de ![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20190726101851064-0728:S0008439500004823:S0008439500004823_inline2.gif?pub-status=live)
Published online by Cambridge University Press: 20 November 2018
Abstract
Let {x} denote the fractional part of x. We find an asymptotic formula of , where k is any positive integer and a is any real number ≥ 1, and so for the sum ∑n<xf(n), where f(n) belongs to a class of additive functions.
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- Copyright © Canadian Mathematical Society 1987
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