On effective computation of fundamental units. II

Pohst, Michael; Weiler, Peter; Zassenhaus, Hans

doi:10.1090/S0025-5718-1982-0637308-8

On effective computation of fundamental units. II
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by Michael Pohst, Peter Weiler and Hans Zassenhaus PDF

Math. Comp. 38 (1982), 293-329 Request permission

Abstract:

The new method for efficient computation of fundamental units of an algebraic number field originated by two of die authors in part I is used to develop a powerful computer program. Besides the description of this program part II contains a complete list of fundamental units of algebraic number fields of degree $n = 3,4,5,6$ and small absolute discriminant.

References

On the Computation of the Maximal Order in a Dedekind Domain

SYMSAC

Michael Pohst, On the computation of number fields of small discriminants including the minimum discriminants of sixth degree fields, J. Number Theory 14 (1982), no. 1, 99–117. MR 644904, DOI 10.1016/0022-314X(82)90061-0

ACM SIGSAM Bull.

Michael Pohst and Hans Zassenhaus, An effective number geometric method of computing the fundamental units of an algebraic number field, Math. Comp. 31 (1977), no. 139, 754–770. MR 498486, DOI 10.1090/S0025-5718-1977-0498486-5
Michael Pohst and Hans Zassenhaus, On effective computation of fundamental units. I, Math. Comp. 38 (1982), no. 157, 275–291. MR 637307, DOI 10.1090/S0025-5718-1982-0637307-6