Geodesic
On fundamental units of certain fields
Sbornik. Mathematics, Tome 76 (1993) no. 2, pp. 293-304

Voir la notice de l'article provenant de la source Math-Net.Ru

The author describes a function that depends polynomially on the coefficients of the minimal polynomial of an algebraic number and has the property that the successive minima in the group of units of a totally real field are attained on a set of units which are fundamental units in the case of fields of degree $\leqslant4$ and which generate a group of small index in the general case. 
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     author = {E. M. Matveev},
     title = {On fundamental units of certain fields},
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E. M. Matveev. On fundamental units of certain fields. Sbornik. Mathematics, Tome 76 (1993) no. 2, pp. 293-304. http://geodesic.mathdoc.fr/item/SM_1993_76_2_a2/