Examples of norm-Euclidean ideal classes
LEZOWSKI, Pierre
Institut de Mathématiques de Bordeaux [IMB]
Lithe and fast algorithmic number theory [LFANT]
Institut de Mathématiques de Bordeaux [IMB]
Lithe and fast algorithmic number theory [LFANT]
LEZOWSKI, Pierre
Institut de Mathématiques de Bordeaux [IMB]
Lithe and fast algorithmic number theory [LFANT]
< Reduce
Institut de Mathématiques de Bordeaux [IMB]
Lithe and fast algorithmic number theory [LFANT]
Language
en
Article de revue
This item was published in
International Journal of Number Theory. 2012-08, vol. 8, n° 5, p. 1315-1333
World Scientific Publishing
English Abstract
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 ...Read more >
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.Read less <
Origin
Hal imported