Euclidean fields having a large Lenstra constant
Leutbecher, Armin
Annales de l'Institut Fourier, Tome 35 (1985), p. 83-106 / Harvested from Numdam
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Fondée sur une méthode de H. W. Lenstra Jr., cette note représente 143 exemples nouveaux des corps de nombres euclidiens. Il s’agit des corps de degré n=7,8,9 et 10 et de rang des unités ≤5. La recherche de ces exemples a révélé aussi quelques corps de discriminant petit, comparé avec la borne inférieure d’Odlyzko.

Based on a method of H. W. Lenstra Jr. in this note 143 new Euclidean number fields are given of degree n=7,8,9 and 10 and of unit rank ≤5. The search for these examples also revealed several other fields of small discriminant compared with the lower bounds of Odlyzko.

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     author = {Leutbecher, Armin},
     title = {Euclidean fields having a large Lenstra constant},
     journal = {Annales de l'Institut Fourier},
     volume = {35},
     year = {1985},
     pages = {83-106},
     doi = {10.5802/aif.1011},
     mrnumber = {86j:11107},
     zbl = {0546.12005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIF_1985__35_2_83_0}
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Leutbecher, Armin. Euclidean fields having a large Lenstra constant. Annales de l'Institut Fourier, Tome 35 (1985) pp. 83-106. doi : 10.5802/aif.1011. http://gdmltest.u-ga.fr/item/AIF_1985__35_2_83_0/

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