Hyperquadratic Power Series in $\mathbb{F}_3((t^{-1}))$ with partial quotients of degree 1
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | LASJAUNIAS, Alain | |
| dc.contributor.author | GOMEZ, Domingo | |
| dc.date.accessioned | 2024-04-04T02:26:54Z | |
| dc.date.available | 2024-04-04T02:26:54Z | |
| dc.date.created | 2011-06-16 | |
| dc.date.issued | 2014 | |
| dc.identifier.issn | 1382-4090 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189991 | |
| dc.description.abstractEn | We are concerned with power series in 1/T over a finite field of 3 elements $\F_3$. In a previous article, Alain Lasjaunias investigated the existence of particular power series of elements algebraic over $\F_3[T]$, having all partial quotients of degree 1 in their continued fraction expansion. Here, we generalize his result and we make a conjecture about the elements with all partial quotients of degree 1, except maybe the first ones. | |
| dc.language.iso | en | |
| dc.publisher | Springer Verlag | |
| dc.subject.en | power series | |
| dc.subject.en | finite fields | |
| dc.subject.en | continued fractions | |
| dc.title.en | Hyperquadratic Power Series in $\mathbb{F}_3((t^{-1}))$ with partial quotients of degree 1 | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1007/s11139-013-9545-4 | |
| dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
| dc.identifier.arxiv | 1106.3193 | |
| bordeaux.journal | Ramanujan Journal | |
| bordeaux.page | 219-226 | |
| bordeaux.volume | 33 | |
| 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-00602326 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00602326v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Ramanujan%20Journal&rft.date=2014&rft.volume=33&rft.spage=219-226&rft.epage=219-226&rft.eissn=1382-4090&rft.issn=1382-4090&rft.au=LASJAUNIAS,%20Alain&GOMEZ,%20Domingo&rft.genre=article |
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