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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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    Title
    • Upper bounds for the Euclidean minima of abelian fields of odd prime power conductor
    Author
    • 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
    Document Type
    • Postprint
    Classification
    • Mathematics
    OAI-PMH Identifier
    • 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 $$r \ge 2$$