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.
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.
@article{JTNB_2005__17_2_437_0,
author = {Eva Bayer-Fluckiger and Gabriele Nebe},
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},
mrnumber = {2211300},
zbl = {1161.11032},
language = {en},
url = {https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.500/}
}
TY - JOUR AU - Eva Bayer-Fluckiger AU - Gabriele Nebe 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 - https://jtnb.centre-mersenne.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 Eva Bayer-Fluckiger %A Gabriele Nebe %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 https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.500/ %R 10.5802/jtnb.500 %G en %F JTNB_2005__17_2_437_0
Eva Bayer-Fluckiger; Gabriele Nebe. 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. https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.500/
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