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

• Autorzy: Florian Luca , Carl Pomerance
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 11N37: Asymptotic results on arithmetic functions
• 11A25: Arithmetic functions; related numbers; inversion formulas

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2015
• Tom: 168
• Numer: 2
• Strony: 187-199

Daty

wydano

2015

Twórcy

autor

Florian Luca

• School of Mathematics, University of the Witwatersrand, P.O. Box Wits 2050, Johannesburg, South Africa

autor

Carl Pomerance

• Department of Mathematics, Dartmouth College, Hanover, NH 03755-3551, U.S.A.

Identyfikatory

DOI

10.4064/aa168-2-6