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A note on asymmetric approximation

Part of: Diophantine approximation, transcendental number theory

Published online by Cambridge University Press:  26 February 2010

K. C. Prasad  and
Arjun Prasad
K. C. Prasad
Affiliation:
Dr. K. C. Prasad, Department of Mathematics, Ranchi University, Ranchi-834005, India.
Arjun Prasad
Affiliation:
Dr. A. Prasad, Department of Mathematics, B. S. College, Lohardaga, Ranchi-834005, India.
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Extract

This article considers the effect of more than one quotient and improves a theorem of Tong which is a generalization of a theorem of Segre on asymmetric approximation.

MSC classification

Secondary: 11J04: Homogeneous approximation to one number
Type
Research Article
Information
Mathematika , Volume 38 , Issue 1 , June 1991 , pp. 34 - 41
Copyright
Copyright © University College London 1991

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References

1. Segre, B. Lattice points in infinite domains and asymmetric approximations. Duke Math. J., 12 (1945), 337–365.CrossRefGoogle Scholar
2. Koksma, J. F. Diophantische Approximationen (Chelsea, New York, 1936).Google Scholar
3. Tong, J. A theorem on approximation of irrational number by simple continued fractions. Proc. Edinburgh Math. Soc. (1988) 31, 197–204.Google Scholar
4. Tong, J. Segre's theorem on Asymmetric diophantine approximation. J. of Number Theory. (1988), 116–118.CrossRefGoogle Scholar
5. Leveque, W. J. On Asymmetric approximations. Michigan Math. J., 2 (1953), 1–6CrossRefGoogle Scholar