On the existence of Minkowski units in totally real cyclic fields
Marko, František1
1 Pennsylvania State University 76 University Drive Hazleton, PA 18202, USA and Mathematical Institute Slovak Academy of Sciences Štefánikova 49 814 38 Bratislava, Slovakia
Journal de théorie des nombres de Bordeaux, Tome 17 (2005) no. 1, pp. 195-206.

Soit K un corps de nombres cyclique réel de degré n qui est le produit de deux nombres premiers distincts et tel que le nombre de classes du n-ième corps cyclotomique soit égal à 1. Nous établissons certaines conditions nécessaires et suffisantes pour l’existence d’une unité de Minkowski pour K.

Let K be a totally real cyclic number field of degree n that is the product of two distinct primes and such that the class number of the n-th cyclotomic field equals 1. We derive certain necessary and sufficient conditions for the existence of a Minkowski unit for K.

DOI : 10.5802/jtnb.486
Marko, František 1

1 Pennsylvania State University 76 University Drive Hazleton, PA 18202, USA and Mathematical Institute Slovak Academy of Sciences Štefánikova 49 814 38 Bratislava, Slovakia 
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Marko, František. On the existence of Minkowski units in totally real cyclic fields. Journal de théorie des nombres de Bordeaux, Tome 17 (2005) no. 1, pp. 195-206. doi : 10.5802/jtnb.486. https://www.numdam.org/articles/10.5802/jtnb.486/

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