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Comportement Asymptotique de

Published online by Cambridge University Press:  20 November 2018

Armel Mercier*
Affiliation:
Université du Québec à Chicoutimi Département de Mathématiques 555 Blvd. de l'Université Chicoutimi (Québec) Canada G7H 2B1
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Abstract

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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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Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1987