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| HAL: hal-00634643, version 2 |
| DOI: 10.1142/S1793042112500777 |
| Detailed view |  Export this paper |
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| International Journal of Number Theory 8, 5 (2012) 1315-1333 |
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| Available versions: | v1 (2011-10-21) | v2 (2012-01-24) |
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| Examples of norm-Euclidean ideal classes |
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| Pierre Lezowski 1, 2 |
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| (2012-08) |
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| 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. |
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| 1: | Institut de Mathématiques de Bordeaux (IMB) |
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CNRS : UMR5251 – Université Sciences et Technologies - Bordeaux I – Université Victor Segalen - Bordeaux II |
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| 2: | LFANT (INRIA Bordeaux - Sud-Ouest) |
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INRIA – Université de Bordeaux – CNRS : UMR5251 |
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| Subject | : | Mathematics/Number Theory |
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| Attached file list to this document: | ||||||||||
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| hal-00634643, version 2 | |
| http://hal.archives-ouvertes.fr/hal-00634643 | |
| oai:hal.archives-ouvertes.fr:hal-00634643 | |
| From: Pierre Lezowski | |
| Submitted on: Tuesday, 24 January 2012 14:23:39 | |
| Updated on: Tuesday, 17 July 2012 13:38:42 | |
