On the period of the continued fraction for values of the square root of power sums
| dc.creator | Scremin, Amedeo | |
| dc.date | 2004-05-20 | |
| dc.date.accessioned | 2026-07-07T05:08:25Z | |
| dc.date.available | 2026-07-07T05:08:25Z | |
| dc.description | The present paper proves that if for a power sum $α$ over $\ZZ$ the length of the period of the continued fraction for $\sqrt{α(n)}$ is constant for infinitely many even (resp. odd) $n$, then $\sqrt{α(n)}$ admits a functional continued fraction expansion for all even (resp. odd) $n$, except finitely many; in particular, for such $n$, the partial quotients can be expressed by power sums of the same kind. | |
| dc.identifier | https://arxiv.org/abs/math/0405390 | |
| dc.identifier | http://arxiv.org/abs/math/0405390 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71255 | |
| dc.subject | Number Theory | |
| dc.subject | 11J70; 11J25 | |
| dc.title | On the period of the continued fraction for values of the square root of power sums | |
| dc.type | text |