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Some Generalized Euclidean and 2-stage Euclidean number fields that are not norm-Euclidean

Jean-Paul Cerri 1, 2
2 LFANT - Lithe and fast algorithmic number theory
IMB - Institut de Mathématiques de Bordeaux, Inria Bordeaux - Sud-Ouest
Abstract : We give examples of Generalized Euclidean but not norm-Euclidean number fields of degree greater than 2. In the same way we give examples of 2-stage Euclidean but not norm-Euclidean number fields of degree greater than 2. In both cases, no such examples were known.
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  • HAL Id : hal-00505142, version 2

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Jean-Paul Cerri. Some Generalized Euclidean and 2-stage Euclidean number fields that are not norm-Euclidean. Mathematics of Computation, American Mathematical Society, 2011, 80 (276), pp.2289-2298. ⟨hal-00505142v2⟩

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