It is shown that a small change in the argument of Harper and Murty implies that there are at most two real quadratic fields with class-number one and without Euclidean algorithm.
Publié le : 2007-09-15
Classification:
Euclidean algorithm,
real quadratic fields,
Abelian cubic fields,
11R11,
11R20,
13F07
@article{1229619657,
author = {Narkiewicz, W\l adys\l aw},
title = {Euclidean algorithm in small Abelian fields},
journal = {Funct. Approx. Comment. Math.},
volume = {37},
number = {1},
year = {2007},
pages = { 337-340},
language = {en},
url = {http://dml.mathdoc.fr/item/1229619657}
}
Narkiewicz, Władysław. Euclidean algorithm in small Abelian fields. Funct. Approx. Comment. Math., Tome 37 (2007) no. 1, pp. 337-340. http://gdmltest.u-ga.fr/item/1229619657/