Upper bounds for the Euclidean minima of abelian fields of odd prime power conductor |
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| Authors: | Eva Bayer-Fluckiger Piotr Maciak |
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| Institution: | 1.école Polytechnique Fédérale de Lausanne,EPFL–FSB–MATHGEOM–CSAG,Lausanne,Switzerland |
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| Abstract: | 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 \(r \ge 2\). |
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