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

DOI:
https://doi.org/10.1090/S0025-5718-1977-0498486-5

MathSciNet review:
0498486

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Abstract | References | Similar Articles | Additional Information

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 linear inequalities for one unknown each. Application is made to the unit search for all totally real number fields of minimal discriminant for .

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DOI:
https://doi.org/10.1090/S0025-5718-1977-0498486-5

Article copyright:
© Copyright 1977
American Mathematical Society