Computation of Euclidean minima in totally definite quaternion fields
| hal.structure.identifier | Lithe and fast algorithmic number theory [LFANT] | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | CERRI, Jean-Paul | |
| hal.structure.identifier | Laboratoire de Mathématiques Blaise Pascal [LMBP] | |
| dc.contributor.author | LEZOWSKI, Pierre | |
| dc.date.accessioned | 2024-04-04T03:05:28Z | |
| dc.date.available | 2024-04-04T03:05:28Z | |
| dc.date.created | 2018-02-11 | |
| dc.date.issued | 2019 | |
| dc.identifier.issn | 1793-0421 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/193250 | |
| dc.description.abstractEn | We describe an algorithm that allows to compute the Euclidean minimum (for the norm form) of any order of a totally definite quaternion field over a number field K of degree strictly greater than 1. Our approach is a generalization of previous work dealing with number fields. The algorithm was practically implemented when K has degree 2. | |
| dc.language.iso | en | |
| dc.publisher | World Scientific Publishing | |
| dc.subject.en | Quaternion algebras | |
| dc.subject.en | Norm-Euclidean minimum | |
| dc.subject.en | Algorithmic number theory | |
| dc.subject.en | Norm-Euclidean orders | |
| dc.title.en | Computation of Euclidean minima in totally definite quaternion fields | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1142/S1793042118501725 | |
| dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
| bordeaux.journal | International Journal of Number Theory | |
| bordeaux.page | 43–66 | |
| bordeaux.volume | 15 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 1 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01447059 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01447059v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=International%20Journal%20of%20Number%20Theory&rft.date=2019&rft.volume=15&rft.issue=1&rft.spage=43%E2%80%9366&rft.epage=43%E2%80%9366&rft.eissn=1793-0421&rft.issn=1793-0421&rft.au=CERRI,%20Jean-Paul&LEZOWSKI,%20Pierre&rft.genre=article |
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