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Continued Fractions Associated with $\text{S}{{\text{L}}_{3}}(\mathbf{Z})$ and Units in Complex Cubic Fields

Published online by Cambridge University Press:  20 November 2018

L. Ya. Vulakh
L. Ya. Vulakh*
Affiliation:
Department of Mathematics, The Cooper Union, 51 Astor Place, New York, NY 10003, USA, email: vulakh@cooper.edu
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Abstract

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Continued fractions associated with $\text{G}{{\text{L}}_{3}}\left( \mathbf{Z} \right)$ are introduced and applied to find fundamental units in a two-parameter family of complex cubic fields.

Keywords

11R2711J7011J13fundamental unitscontinued fractionsdiophantine approximationsymmetric space

Information

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 54 , Issue 6 , 01 December 2002 , pp. 1305 - 1318
Copyright
Copyright © Canadian Mathematical Society 2002

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