1School of Mathematics University of the Witwatersrand P.O. Box Wits 2050 Johannesburg, South Africa 2Department of Mathematics Dartmouth College Hanover, NH 03755-3551, U.S.A.
Acta Arithmetica, Tome 168 (2015) no. 2, pp. 187-199
Answering a question of Erdős, we show that a positive proportion of even numbers are in the form $s(n)$, where $s(n)=\sigma (n)-n$, the sum of proper divisors of $n$.
Keywords:
answering question erd positive proportion even numbers form where sigma n sum proper divisors nbsp
Affiliations des auteurs :
Florian Luca
1
;
Carl Pomerance
2
1
School of Mathematics University of the Witwatersrand P.O. Box Wits 2050 Johannesburg, South Africa
2
Department of Mathematics Dartmouth College Hanover, NH 03755-3551, U.S.A.
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author = {Florian Luca and Carl Pomerance},
title = {The range of the sum-of-proper-divisors function},
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Florian Luca; Carl Pomerance. The range of the sum-of-proper-divisors function. Acta Arithmetica, Tome 168 (2015) no. 2, pp. 187-199. doi: 10.4064/aa168-2-6
