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On effective computation of fundamental units. I

1982; American Mathematical Society; Volume: 38; Issue: 157 Linguagem: Inglês

10.1090/s0025-5718-1982-0637307-6

1088-6842

Michael Pohst, Hans Zassenhaus,

Polynomial and algebraic computation

The new method for efficient computation of the fundamental units of an algebraic number field developed by the authors in an earlier paper is considerably improved with respect to (Section 1) utilization to best advantage of the element of choice inherent in the method and the mastery of the linear programming techniques involved, (Section 2) ideal factorization, and (Section 3) the determination of sharper upper bounds for the index of U ε {U_\varepsilon } in U F {U_F} .