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Upper bounds for the Euclidean minima of abelian fields of odd prime power conductor

Bayer-Fluckiger, Eva ; Maciak, Piotr

In: Mathematische Annalen, 2013, vol. 357, no. 3, p. 1071-1089

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    Titre
    • Upper bounds for the Euclidean minima of abelian fields of odd prime power conductor
    Auteur
    • Bayer-Fluckiger, Eva. École Polytechnique Fédérale de Lausanne, EPFL-FSB-MATHGEOM-CSAG, 1015, Lausanne, Switzerland
    • Maciak, Piotr. École Polytechnique Fédérale de Lausanne, EPFL-FSB-MATHGEOM-CSAG, 1015, Lausanne, Switzerland
    Type de document
    • Postprint
    Langue
    • Inglese
    Publié dans
    • Mathematische Annalen, 2013, vol. 357, no. 3, p. 1071-1089. Springer Berlin Heidelberg
    Autre version électronique
    Classification
    • Mathématiques
    Identifiant OAI-PMH
    • oai:doc.rero.ch:316860
    Summary
    The aim of this paper is to give upper bounds for the Euclidean minima of abelian fields of odd prime power conductor. In particular, these bounds imply Minkowski's conjecture for totally real number fields of conductor $$p^r$$ , where $$p$$ is an odd prime number and $$r \ge 2$$