Transactions of the American Mathematical Society

Author(s): L. Ya. Vulakh
Journal: Trans. Amer. Math. Soc. 356 (2004), 2325-2348.
MSC (2000): Primary 11R27, 11J70
Posted: November 4, 2003
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Abstract: Multi-dimensional continued fractions associated with $GL_n({\mathbf Z})$ are introduced and applied to find systems of fundamental units in some families of totally real fields and fields with signature (2,1).

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