Computation of Independent Units in Number Fields by Dirichlet's Method

Abstract

Using the basis reduction algorithm of A. K. Lenstra, H. W. Lenstra, Jr. and L. Lovász [8] and an idea of Buchmann [4], we describe a method for computing maximal systems of independent units in arbitrary number fields. The tables in the supplements section display such systems for the fields Q( \ÍD) where 6 < n < 11. 
DOI: 10.1007/3-540-16776-5_733

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