Euclidean Ideals in Quadratic Imaginary Fields

Details Euclidean Ideals in Quadratic Imaginary Fields Euclidean Ideals in Quadratic Imaginary Fields

2009-09-14

arxiv.org/abs/0909.2593v1

Mathematics

Number Theory

12 pages, 17 figures

Scientific paper

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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