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Sommes de Fonctions Additives Restreintes à une Class de Congruence

Published online by Cambridge University Press:  20 November 2018

Armel Mercier
Armel Mercier*
Affiliation:
Département de Mathématiques Université du Québec à Chicoutimi930 EstRue Jacques-Cartier Chicoutimi (Que.) Canada G7H 2B1
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Une fonction arithmétique f est une fonction définie sur l'ensemble des entiers naturels et à valeurs dans ℂ. On dit qu'une telle fonction f est additive si f(mn)=f(m) + f(n) si(m, n) = l et par ailleurs qu'elle est multiplicative si f(mn)=f(m)f(n) si (m, n) = l. Les sommes de la forme Σn≤xf(n) ont été largement étudiées.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 22 , Issue 1 , 01 March 1979 , pp. 59 - 73
Copyright
Copyright © Canadian Mathematical Society 1979

References

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