Kwan, Chung-Hang;
Miller, Steven J;
(2024)
On the Within-Perfect Numbers.
The Quarterly Journal of Mathematics
10.1093/qmath/haae052.
(In press).
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Abstract
Motivated by the works of Erdös, Wirsing, Pomerance, Wolke and Harman on the sum-of-divisor function sigma(n), we study the distribution of a special class of natural numbers closely related to (multiply) perfect numbers which we term ‘(ℓ; k)-within-perfect numbers’, where ℓ > 1 is a real number and k : [1,∞) → (0,∞) is an increasing and unbounded function.
| Type: | Article |
|---|---|
| Title: | On the Within-Perfect Numbers |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1093/qmath/haae052 |
| Publisher version: | http://dx.doi.org/10.1093/qmath/haae052 |
| Language: | English |
| Additional information: | © The Author(s) 2024. Published by Oxford University Press. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0/). |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10200705 |
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