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arxiv: 1706.04877 · v1 · pith:F5P2APZPnew · submitted 2017-06-15 · 🧮 math.NT

A note on Euclidean cyclic cubic fields

classification 🧮 math.NT
keywords cubiccycliceuclideanfieldsnotenumberclassconductors
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Let $K$ be a cyclic cubic field and $\mathcal{O}_K$ be its ring of integers. In this note we prove that all cyclic cubic number fields with conductors in the interval $ [73, 11971]$ and with class number one are Euclidean.

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