Characteristic approximation properties of quadratic irrationals

Some characteristic approximation properties of quadratic irrationals are studied in this paper. It is shown that the limit points of the sequence δn form a subset C(x), and D(x) can be generated from C(x) in a relatively simple way. Another proof of Lekkerkerker's theorem is given using relati...

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Bibliographic Details
Main Authors: W. B. Jurkat, A. Peyerimhoff
Format: Article
Language:English
Published: Wiley 1978-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171278000472
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