The aim of this paper is to survey and extend recent results concerning bounds for the Euclidean minima of algebraic number fields. In particular, we give upper bounds for the Euclidean minima of abelian fields of prime power conductor.
Le but de cet article est de donner des bornes supérieures pour les minima euclidiens de corps abéliens, en particulier dans le cas des corps abéliens de conducteurs des puissances de nombres premiers.
Keywords: Euclidean minima, abelian fields of prime conductor, ideal lattices.
@article{JTNB_2015__27_3_689_0,
author = {Eva Bayer-Fluckiger and Piotr Maciak},
title = {Upper bounds for the {Euclidean} minima of abelian fields},
journal = {Journal de th\'eorie des nombres de Bordeaux},
pages = {689--697},
publisher = {Soci\'et\'e Arithm\'etique de Bordeaux},
volume = {27},
number = {3},
year = {2015},
doi = {10.5802/jtnb.919},
language = {en},
url = {https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.919/}
}
TY - JOUR AU - Eva Bayer-Fluckiger AU - Piotr Maciak TI - Upper bounds for the Euclidean minima of abelian fields JO - Journal de théorie des nombres de Bordeaux PY - 2015 SP - 689 EP - 697 VL - 27 IS - 3 PB - Société Arithmétique de Bordeaux UR - https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.919/ DO - 10.5802/jtnb.919 LA - en ID - JTNB_2015__27_3_689_0 ER -
%0 Journal Article %A Eva Bayer-Fluckiger %A Piotr Maciak %T Upper bounds for the Euclidean minima of abelian fields %J Journal de théorie des nombres de Bordeaux %D 2015 %P 689-697 %V 27 %N 3 %I Société Arithmétique de Bordeaux %U https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.919/ %R 10.5802/jtnb.919 %G en %F JTNB_2015__27_3_689_0
Eva Bayer-Fluckiger; Piotr Maciak. Upper bounds for the Euclidean minima of abelian fields. Journal de théorie des nombres de Bordeaux, Volume 27 (2015) no. 3, pp. 689-697. doi : 10.5802/jtnb.919. https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.919/
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