About the fractional parts of the powers of the rational numbers
| dc.creator | Farhi, Bakir | |
| dc.date | 2006-11-20 | |
| dc.date.accessioned | 2026-07-07T07:33:10Z | |
| dc.date.available | 2026-07-07T07:33:10Z | |
| dc.description | Let $p/q$ ($p, q \in \mathbb{N}^*$) be a positive rational number such that $p > q^2$. We show that for any $ε> 0$, there exists a set $A(ε) \subset [0, 1[$, with finite border and with Lebesgue measure $< ε$, for which the set of positive real numbers $λ$ satisfying $<λ(p / q)^n> \in A(ε)$ $(\forall n \in \mathbb{N})$ is uncountable. | |
| dc.description | 5 pages | |
| dc.identifier | https://arxiv.org/abs/math/0611622 | |
| dc.identifier | http://arxiv.org/abs/math/0611622 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/119361 | |
| dc.subject | Number Theory | |
| dc.subject | 11K06 | |
| dc.title | About the fractional parts of the powers of the rational numbers | |
| dc.type | text |