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Comptes Rendus Mathématique
Volume 342, n° 11
pages 803-806 (juin 2006)
Doi : 10.1016/j.crma.2006.03.022
Received : 16 November 2005 ;  accepted : 14 Mars 2006
La somme des diviseurs unitaires dʼun entier dans les progressions arithmétiques  
The sum of unitary divisors of an integer in arithmetic progressions

Abdallah Derbal
Département de mathématiques, École normale supérieure vieux Kouba, B.P. 92, Alger, Algérie 


Soit   la fonction somme des diviseurs unitaires du nombre entier n dans la progression arithmétique   définie, pour  , par :  . Dans cette Note nous établissons un théorème sur le comportement relatif de cette fonction et de son ordre maximal qui sera explicitement déterminé et nous donnons des majorations effectives de  . Pour citer cet article : A. Derbal, C. R. Acad. Sci. Paris, Ser. I 342 (2006).

The full text of this article is available in PDF format.

Let   be the function sum of unitary divisors in arithmetic progression   given, for  , by:  . In this Note we present a theorem on the relative behaviour of   and its maximum order which will be given explicitly and we give an effective upper bound of  . To cite this article: A. Derbal, C. R. Acad. Sci. Paris, Ser. I 342 (2006).

The full text of this article is available in PDF format.

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