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Continued Fractions Associated with $\SL_3 (\mathbf{Z})$ and Units in Complex Cubic Fields |
Canad. J. Math. 54(2002), 1305-1318
Published:2002-12-01
Printed: Dec 2002
Printed: Dec 2002
- L. Ya. Vulakh
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 |