EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 64(78), pp. 9--20 (1998)

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ON A SUM OF DIVISORS PROBLEM

Jean-Marie De Koninck and Aleksandar Ivi\'c

Département de Mathématiques, Université Laval, G1K 7P4 Québec, Canada and Katedra Matematike RGF-a, Universiteta u Beogradu, Dju\v sina 7, Beograd, Serbia (Yugoslavia)

Abstract: Several results concerning the set $\S$ are proved. This set was constructed by A. Granville as follows: Let $1\in\Cal S$, and for $n\in\Bbb N$ and $n>1$ let $n\in\Cal S$ if $\sum_{d|n,dKeywords: sum of divisors, perfect numbers, Mersenne primes

Classification (MSC2000): 11N25, 11N37

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Electronic fulltext finalized on: 6 Apr 2000. This page was last modified: 16 Nov 2001.

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