On periodic sequences for algebraic numbers
| dc.creator | Garrity, Thomas | |
| dc.date | 1999-06-02 | |
| dc.date | 1999-08-13 | |
| dc.date.accessioned | 2026-07-07T05:29:20Z | |
| dc.date.available | 2026-07-07T05:29:20Z | |
| dc.description | For each positive integer n greater than or equal to 2, a new approach to expressing real numbers as sequences of nonnegative integers is given. The n=2 case is equivalent to the standard continued fraction algorithm. For n=3, it reduces to a new iteration of the triangle. Cubic irrationals that are roots of x^3 + k x^2 + x - 1 are shown to be precisely those numbers with purely periodic expansions of period length one. For general positive integers n, it reduces to a new iteration of an n dimensional simplex. | |
| dc.description | 22 pages. An error in section five of the original paper has been corrected, resulting in some slight alterations in the statements in the theorems in section six | |
| dc.identifier | https://arxiv.org/abs/math/9906016 | |
| dc.identifier | http://arxiv.org/abs/math/9906016 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78602 | |
| dc.subject | Number Theory | |
| dc.subject | 11J70 | |
| dc.title | On periodic sequences for algebraic numbers | |
| dc.type | text |