The range of the sum-of-proper-divisors function
Acta Arithmetica (2015)
- Volume: 168, Issue: 2, page 187-199
- ISSN: 0065-1036
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topFlorian Luca, and Carl Pomerance. "The range of the sum-of-proper-divisors function." Acta Arithmetica 168.2 (2015): 187-199. <http://eudml.org/doc/286127>.
@article{FlorianLuca2015,
abstract = {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.},
author = {Florian Luca, Carl Pomerance},
journal = {Acta Arithmetica},
keywords = {sum of proper divisors; aliquot sum; applications of sieve methods},
language = {eng},
number = {2},
pages = {187-199},
title = {The range of the sum-of-proper-divisors function},
url = {http://eudml.org/doc/286127},
volume = {168},
year = {2015},
}
TY - JOUR
AU - Florian Luca
AU - Carl Pomerance
TI - The range of the sum-of-proper-divisors function
JO - Acta Arithmetica
PY - 2015
VL - 168
IS - 2
SP - 187
EP - 199
AB - 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.
LA - eng
KW - sum of proper divisors; aliquot sum; applications of sieve methods
UR - http://eudml.org/doc/286127
ER -
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