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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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An analogue of continued fractions in number theory for Nevanlinna theory
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by Zhuan Ye PDF
Trans. Amer. Math. Soc. 356 (2004), 4829-4838 Request permission

Abstract:

We show an analogue of continued fractions in approximation to irrational numbers by rationals for Nevanlinna theory. The analogue is a sequence of points in the complex plane which approaches a given finite set of points and at a given rate in the sense of Nevanlinna theory.
References
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Additional Information
  • Zhuan Ye
  • Affiliation: Department of Mathematical Sciences, Northern Illinois University, DeKalb, Illinois 60115
  • Email: ye@math.niu.edu
  • Received by editor(s): July 25, 2002
  • Published electronically: June 25, 2004
  • © Copyright 2004 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 356 (2004), 4829-4838
  • MSC (2000): Primary 30D35, 11J70
  • DOI: https://doi.org/10.1090/S0002-9947-04-03709-2
  • MathSciNet review: 2084400