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Journal Articles Mathematics of Computation Year : 2011

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

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.

Domains

Number Theory [math.NT]
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Jean-Paul Cerri  : Connect in order to contact the contributor

https://hal.science/hal-00505142

Submitted on : Saturday, July 24, 2010-3:10:22 PM

Last modification on : Wednesday, April 3, 2024-12:52:03 PM

Long-term archiving on: Tuesday, October 23, 2012-11:00:32 AM

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Dates and versions

hal-00505142 , version 1 (24-07-2010)
hal-00505142 , version 2 (22-07-2015)

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  • HAL Id : hal-00505142 , version 1

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Jean-Paul Cerri. Some Generalized Euclidean and 2-stage Euclidean number fields that are not norm-Euclidean. Mathematics of Computation, 2011, 80 (276), pp.2289-2298. ⟨hal-00505142v1⟩

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