This article is cited in 1 paper

On fundamental units of certain fields

E. M. Matveev


Abstract: 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.

UDC: 511

MSC: Primary 11Y40, 11R27; Secondary 11R16, 52C05

Received: 19.03.1991

 English version: Russian Academy of Sciences. Sbornik. Mathematics, 1993, 76:2, 293–304

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