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A theorem on approximation of irrational numbers by simple continued fractions
Published online by Cambridge University Press: 20 January 2009
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Let ξ be an irrational number with simple continued fraction expansion ξ= [a0;a1,a2,…], Pn/qn be its nth convergent, . The following two theorems were proved by Müller [9] and rediscovered by Bagemihl and McLaughlin [1]:
Theorem 1.For n>1,
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- Copyright © Edinburgh Mathematical Society 1988
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