On fundamental units of certain fields. (Russian) Zbl 0768.11050

Matveev, E. M.

Mat. Sb. 183, No. 7, 35-48 (1992).

The paper describes practical computational methods for finding the fundamental units in totally real fields of degree \(\leq 4\). The fundamental units are (or can be directly obtained from) successive minima of some functions depending on the coefficients of the minimal polynomials of algebraic numbers.

Reviewer: I.Gaál (Debrecen)

MSC:

11Y40	Algebraic number theory computations
11R27	Units and factorization

Keywords:

practical computational methods; fundamental units; totally real fields