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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Continued fractions and equivalent complex numbers


Author: Richard B. Lakein
Journal: Proc. Amer. Math. Soc. 42 (1974), 641-642
MSC: Primary 10F20
MathSciNet review: 0382179
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Abstract: In this note it is shown, by a counterexample, that the familiar theorem on the continued fraction expansions of equivalent numbers does not hold when these notions are extended to complex numbers.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1974-0382179-8
PII: S 0002-9939(1974)0382179-8
Keywords: Complex continued fractions, equivalent complex numbers
Article copyright: © Copyright 1974 American Mathematical Society