The range of the sum-of-proper-divisors function
Florian Luca ; Carl Pomerance
Acta Arithmetica, Tome 168 (2015), p. 187-199 / Harvested from The Polish Digital Mathematics Library
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Answering a question of Erdős, we show that a positive proportion of even numbers are in the form s(n), where s(n) = σ(n) - n, the sum of proper divisors of n.

Publié le : 2015-01-01
EUDML-ID : urn:eudml:doc:286127 
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Florian Luca; Carl Pomerance. The range of the sum-of-proper-divisors function. Acta Arithmetica, Tome 168 (2015) pp. 187-199. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa168-2-6/