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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 fundamental units, continued fractions, diophantine approximation, symmetric space
MSC Classifications: 11R27, 11J70, 11J13 show english descriptions Units and factorization
Continued fractions and generalizations [See also 11A55, 11K50]
Simultaneous homogeneous approximation, linear forms
11R27 - Units and factorization
11J70 - Continued fractions and generalizations [See also 11A55, 11K50]
11J13 - Simultaneous homogeneous approximation, linear forms
 

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