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arXiv · 0909.2593

Euclidean Ideals in Quadratic Imaginary Fields

Hester Graves·Nick Ramsey
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Abstract

We classify all quadratic imaginary number fields that have a Euclidean ideal class. There are seven of them, they are of class number at most two, and in each case the unique class that generates the class-group is moreover norm-Euclidean.

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Hester Graves, Nick Ramsey. 2009-09-14. Euclidean Ideals in Quadratic Imaginary Fields. https://arxiv.org/abs/0909.2593

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