Hyperquadratic continued fractions over a finite field of odd characteristic with partial quotients of degree 1
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | LASJAUNIAS, Alain | |
| hal.structure.identifier | Nanjing University of Posts and Telecommunications [Nanjing] [NJUPT] | |
| dc.contributor.author | YAO, Jia-Yan | |
| dc.date.accessioned | 2024-04-04T02:18:09Z | |
| dc.date.available | 2024-04-04T02:18:09Z | |
| dc.date.created | 2014-05-09 | |
| dc.date.issued | 2015-04 | |
| dc.identifier.issn | 0022-314X | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189288 | |
| dc.description.abstractEn | In 1986, some examples of algebraic, and nonquadratic, power series over a fi?nite prime ?field, having a continued fraction expansion with partial quotients all of degree one, were discovered by W. Mills and D. Robbins. In this note we show how these few examples are included in a very large family of continued fractions for certain algebraic power series over an arbitrary ?finite fi?eld of odd characteristic. | |
| dc.language.iso | en | |
| dc.publisher | Elsevier | |
| dc.subject.en | power series | |
| dc.subject.en | finite fields | |
| dc.subject.en | continued fractions | |
| dc.title.en | Hyperquadratic continued fractions over a finite field of odd characteristic with partial quotients of degree 1 | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1016/j.jnt.2014.10.012 | |
| dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
| dc.identifier.arxiv | 1405.2171 | |
| bordeaux.journal | Journal of Number Theory | |
| bordeaux.page | 259-284 | |
| bordeaux.volume | 149 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00991311 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00991311v1 | |
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