A generalization of Voronoi's unit algorithm I |
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Authors: | Johannes Buchmann |
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Institution: | Mathematisches Institut der Universität, Weyertal 86-90, D-5000 Köln 41, West Germany |
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Abstract: | By means of a new method of mapping an algebraic number field into a euclidean space Voronoi's unit algorithm is generalized to all algebraic number fields and it is proved that the generalized Voronoi algorithm computes the fundamental units of all algebraic number fields of unit rank 1, i.e., of the real quadratic fields, of the complex cubic fields, and of the totally complex quartic fields. |
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