An effective number geometric method of computing the fundamental units of an algebraic number field
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- by Michael Pohst and Hans Zassenhaus PDF
- Math. Comp. 31 (1977), 754-770 Request permission
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 $n \leqslant 7$.References
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Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Math. Comp. 31 (1977), 754-770
- MSC: Primary 12A45
- DOI: https://doi.org/10.1090/S0025-5718-1977-0498486-5
- MathSciNet review: 0498486