On the Lenstra constant associated to the Rosen continued fractions
| dc.creator | Nakada, Hitoshi | |
| dc.date | 2007-05-25 | |
| dc.date.accessioned | 2026-07-07T08:03:14Z | |
| dc.date.available | 2026-07-07T08:03:14Z | |
| dc.description | The purpose of this paper is to describe the relation between the Legendre and the Lenstra constants. Indeed we show that they are equal whenever the Legendre constant exists; in particular, this holds for both Rosen continued fractions and $α$-continued fractions. We also give the explicit value of the entropy of the Rosen map with respect to the absolutely continuous invariant probability measure. | |
| dc.description | 15 pages | |
| dc.identifier | https://arxiv.org/abs/0705.3756 | |
| dc.identifier | http://arxiv.org/abs/0705.3756 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/129505 | |
| dc.subject | Number Theory | |
| dc.subject | Dynamical Systems | |
| dc.subject | 11K50; 37A45 | |
| dc.title | On the Lenstra constant associated to the Rosen continued fractions | |
| dc.type | text |