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CM fields with a reciprocal unit-primitive element
Journal article   Peer reviewed

CM fields with a reciprocal unit-primitive element

Cornelius Greither and Toufik Zaimi
Comptes rendus. Mathématique, Vol.356(1), pp.8-12
01/01/2018
DOI: https://doi.org/10.1016/j.crma.2017.11.014

Abstract

Mathematics Physical Sciences Science & Technology
Let K be a noncyclotomic CM field. We show that the field K boolean AND R has a reciprocal unit-primitive element when K does. Also, we prove some related conditions that make the converse of this assertion true. (c) 2017 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

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