On the divisibility of odd perfect numbers by a high power of a prime
| dc.creator | Yamada, Tomohiro | |
| dc.date | 2005-11-16 | |
| dc.date | 2007-07-31 | |
| dc.date.accessioned | 2026-07-07T08:21:11Z | |
| dc.date.available | 2026-07-07T08:21:11Z | |
| dc.description | We study some divisibility properties of multiperfect numbers. Our main result is: if $N=p_1^{α_1}... p_s^{α_s} q_1^{2β_1}... q_t^{2β_t}$ with $β_1, ..., β_t$ in some finite set S satisfies $σ(N)=\frac{n}{d}N$, then N has a prime factor smaller than C, where C is an effective computable constant depending only on s, n, S. | |
| dc.description | 13 pages | |
| dc.identifier | https://arxiv.org/abs/math/0511410 | |
| dc.identifier | http://arxiv.org/abs/math/0511410 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/135279 | |
| dc.subject | Number Theory | |
| dc.subject | 11A25 | |
| dc.title | On the divisibility of odd perfect numbers by a high power of a prime | |
| dc.type | text |