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Diophantine approximation by continued fractions

Part of: Diophantine approximation, transcendental number theory Elementary number theory

Published online by Cambridge University Press:  09 April 2009

Jingcheng Tong
Jingcheng Tong
Affiliation:
Department of Mathematics and Statistics University of North FloridaJacksonville, Florida 32216, U.S.A.
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Abstract

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Let ξ be an irrational number with simple continued fraction expansion be its ith convergent. Let Mi = [ai+1,…, a1]+ [0; ai+2, ai+3,…]. In this paper we prove that Mn−1 < r and Mn R imply which generalizes a previous result of the author.

MSC classification

Secondary: 11J04: Homogeneous approximation to one number 11A55: Continued fractions
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 51 , Issue 2 , October 1991 , pp. 324 - 330
Copyright
Copyright © Australian Mathematical Society 1991

References

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