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# Continued Fractions Associated with $\SL_3 (\mathbf{Z})$ and Units in Complex Cubic Fields

Published:2002-12-01
Printed: Dec 2002
• L. Ya. Vulakh
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## Abstract

Continued fractions associated with $\GL_3 (\mathbf{Z})$ are introduced and applied to find fundamental units in a two-parameter family of complex cubic fields.
 Keywords: fundamental units, continued fractions, diophantine approximation, symmetric space
 MSC Classifications: 11R27 - Units and factorization 11J70 - Continued fractions and generalizations [See also 11A55, 11K50] 11J13 - Simultaneous homogeneous approximation, linear forms

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