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arxiv: 1310.6057 · v1 · pith:CRYRZVUVnew · submitted 2013-10-22 · 🧮 math.NT

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

classification 🧮 math.NT
keywords boundsconductorfieldsprimeabelianeuclideanminimaupper
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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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