On the existence of Minkowski units in totally real cyclic fields
František Marko1
1Pennsylvania 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, Volume 17 (2005) no. 1, pp. 195-206

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.

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.

Published online:
DOI: 10.5802/jtnb.486

František Marko  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 
František Marko. On the existence of Minkowski units in totally real cyclic fields. Journal de théorie des nombres de Bordeaux, Volume 17 (2005) no. 1, pp. 195-206. doi: 10.5802/jtnb.486
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