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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Units in some families of algebraic number fields
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by L. Ya. Vulakh PDF
Trans. Amer. Math. Soc. 356 (2004), 2325-2348 Request permission

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