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An effective number geometric method of computing the fundamental units of an algebraic number field

Authors: Michael Pohst and Hans Zassenhaus
Journal: Math. Comp. 31 (1977), 754-770
MSC: Primary 12A45
MathSciNet review: 0498486
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Abstract: The Minkowski method of unit search is applied to particular types of parallelotopes permitting to discover algebraic integers of bounded norm in a given algebraic number field of degree n at will by solving successively $ 2n$ linear inequalities for one unknown each. Application is made to the unit search for all totally real number fields of minimal discriminant for $ n \leqslant 7$.

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Article copyright: © Copyright 1977 American Mathematical Society

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