PDF files of articles are only available for institutions which have paid for the online version upon signing an Institutional User License.

The range of the sum-of-proper-divisors function

Volume 168 / 2015

Florian Luca, Carl Pomerance Acta Arithmetica 168 (2015), 187-199 MSC: Primary 11A25; Secondary 11N37. DOI: 10.4064/aa168-2-6

Abstract

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 $n$.

Authors

  • Florian LucaSchool of Mathematics
    University of the Witwatersrand
    P.O. Box Wits 2050
    Johannesburg, South Africa
    e-mail
  • Carl PomeranceDepartment of Mathematics
    Dartmouth College
    Hanover, NH 03755-3551, U.S.A.
    e-mail

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image