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On effective computation of fundamental units. II. (English) Zbl 0493.12005

Theoretical improvements of a method devised by M. Pohst and H. Zassenhaus (see the preceding review Zbl 0493.12004) have led the three authors to describe a powerful computer program which permits efficient computation of a fundamental system of units of an algebraic number field. An extensive list of numerical results is obtained which cover algebraic number fields of degree \(n=3, 4, 5, 6\) and small absolute discriminant.

MSC:

11R27 Units and factorization
11Y40 Algebraic number theory computations
11-04 Software, source code, etc. for problems pertaining to number theory

Citations:

Zbl 0493.12004
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