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On the Continued Fractions of Conjugate Quadratic Irrationalities
Published online by Cambridge University Press: 20 November 2018
Extract
Let
1
be the simple continued fraction (SCF) of an irrational number x. The partial quotients ai which we shall sometimes refer to as the "terms" of the SCF are integers and, for i ≥ 2, they are positive. If x is a quadratic irrationality then, by Lagrange's Theorem, the right side of (1) becomes periodic from some point on.
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- Copyright © Canadian Mathematical Society 1980
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