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arXiv · 1310.6057

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

Eva Bayer-Fluckiger·Piotr Maciak
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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 conductor. In particular, these bounds imply Minkowski's conjecture for totally real number fields of conductor p^r, where p is an odd prime and r is at least 2.

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Eva Bayer-Fluckiger, Piotr Maciak. 2013-10-22. Upper bounds for the Euclidean minima of abelian fields of odd prime power conductor. https://arxiv.org/abs/1310.6057

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