Le but de cet article est de donner des bornes pour le minimum euclidien des corps quadratiques réels et des corps cyclotomiques réels dont le conducteur est une puissance d’un nombre premier.
General methods from [3] are applied to give good upper bounds on the Euclidean minimum of real quadratic fields and totally real cyclotomic fields of prime power discriminant.
@article{JTNB_2005__17_2_437_0,
author = {Bayer-Fluckiger, Eva and Nebe, Gabriele},
title = {On the {Euclidean} minimum of some real number fields},
journal = {Journal de th\'eorie des nombres de Bordeaux},
pages = {437--454},
publisher = {Universit\'e Bordeaux 1},
volume = {17},
number = {2},
year = {2005},
doi = {10.5802/jtnb.500},
zbl = {1161.11032},
mrnumber = {2211300},
language = {en},
url = {http://www.numdam.org/articles/10.5802/jtnb.500/}
}
TY - JOUR AU - Bayer-Fluckiger, Eva AU - Nebe, Gabriele TI - On the Euclidean minimum of some real number fields JO - Journal de théorie des nombres de Bordeaux PY - 2005 SP - 437 EP - 454 VL - 17 IS - 2 PB - Université Bordeaux 1 UR - http://www.numdam.org/articles/10.5802/jtnb.500/ DO - 10.5802/jtnb.500 LA - en ID - JTNB_2005__17_2_437_0 ER -
%0 Journal Article %A Bayer-Fluckiger, Eva %A Nebe, Gabriele %T On the Euclidean minimum of some real number fields %J Journal de théorie des nombres de Bordeaux %D 2005 %P 437-454 %V 17 %N 2 %I Université Bordeaux 1 %U http://www.numdam.org/articles/10.5802/jtnb.500/ %R 10.5802/jtnb.500 %G en %F JTNB_2005__17_2_437_0
Bayer-Fluckiger, Eva; Nebe, Gabriele. On the Euclidean minimum of some real number fields. Journal de théorie des nombres de Bordeaux, Tome 17 (2005) no. 2, pp. 437-454. doi : 10.5802/jtnb.500. http://www.numdam.org/articles/10.5802/jtnb.500/
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