Totally indefinite Euclidean quaternion fields
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| hal.structure.identifier | Lithe and fast algorithmic number theory [LFANT] | |
| dc.contributor.author | CERRI, Jean-Paul | |
| hal.structure.identifier | Ecole Polytechnique Fédérale de Lausanne [EPFL] | |
| dc.contributor.author | CHAUBERT, Jérôme | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| hal.structure.identifier | Lithe and fast algorithmic number theory [LFANT] | |
| dc.contributor.author | LEZOWSKI, Pierre | |
| dc.date.accessioned | 2024-04-04T03:20:21Z | |
| dc.date.available | 2024-04-04T03:20:21Z | |
| dc.date.created | 2014 | |
| dc.date.issued | 2014 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/194581 | |
| dc.description.abstractEn | We study the Euclidean property for totally indefinite quaternion fields. In particular, we establish the complete list of norm-Euclidean such fields over imaginary quadratic number fields. This enables us to exhibit an example which gives a negative answer to a question asked by Eichler. The proofs are both theoretical and algorithmic. | |
| dc.language.iso | en | |
| dc.publisher | Instytut Matematyczny PAN | |
| dc.title.en | Totally indefinite Euclidean quaternion fields | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
| dc.description.sponsorshipEurope | Algorithmic Number Theory in Computer Science | |
| bordeaux.journal | Acta Arithmetica | |
| bordeaux.page | 181-200 | |
| bordeaux.volume | 165 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 2 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01016614 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01016614v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Acta%20Arithmetica&rft.date=2014&rft.volume=165&rft.issue=2&rft.spage=181-200&rft.epage=181-200&rft.au=CERRI,%20Jean-Paul&CHAUBERT,%20J%C3%A9r%C3%B4me&LEZOWSKI,%20Pierre&rft.genre=article |
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