Units in some families of algebraic number fields
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- by L. Ya. Vulakh PDF
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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).References
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Additional Information
- L. Ya. Vulakh
- Affiliation: Department of Mathematics, The Cooper Union, 51 Astor Place, New York, New York 10003
- Email: vulakh@cooper.edu
- Received by editor(s): April 8, 2002
- Received by editor(s) in revised form: March 30, 2003
- Published electronically: November 4, 2003
- Additional Notes: The author was supported in part by NSA Grant MDA904-99-1-0052
- © Copyright 2003 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 356 (2004), 2325-2348
- MSC (2000): Primary 11R27, 11J70
- DOI: https://doi.org/10.1090/S0002-9947-03-03368-3
- MathSciNet review: 2048520