Examples of norm-Euclidean ideal classes
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 | 2024-04-04T02:25:37Z | |
dc.date.available | 2024-04-04T02:25:37Z | |
dc.date.created | 2012-01-24 | |
dc.date.issued | 2012-08 | |
dc.identifier.issn | 1793-0421 | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189892 | |
dc.description.abstractEn | In 1978, Lenstra defined the notion of Euclidean ideal class. Using a slight modification of an algorithm computing the Euclidean minimum, we give new examples of number fields with norm-Euclidean ideal classes. Extending the results of Cioffari, we also establish the complete list of pure cubic number fields which admit a norm-Euclidean ideal class. | |
dc.language.iso | en | |
dc.publisher | World Scientific Publishing | |
dc.title.en | Examples of norm-Euclidean ideal classes | |
dc.type | Article de revue | |
dc.identifier.doi | 10.1142/S1793042112500777 | |
dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
bordeaux.journal | International Journal of Number Theory | |
bordeaux.page | 1315-1333 | |
bordeaux.volume | 8 | |
bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
bordeaux.issue | 5 | |
bordeaux.institution | Université de Bordeaux | |
bordeaux.institution | Bordeaux INP | |
bordeaux.institution | CNRS | |
bordeaux.peerReviewed | oui | |
hal.identifier | hal-00634643 | |
hal.version | 1 | |
hal.popular | non | |
hal.audience | Internationale | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-00634643v1 | |
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