Continued fractions with bounded partial quotients

Proceedings of the Edinburgh Mathematical Society

Volumn 45, Issue 3, 2002, Pages 653-671

  Davison, J L ^a  

^a LAURENTIAN UNIVERSITY   (Canada)

Author keywords

Approximation; Distribution; Transcendence

Indexed keywords

EID: 0036802657     PISSN: 00130915     EISSN: None     Source Type: Journal    
DOI: 10.1017/S001309150000119X     Document Type: Conference Paper

References (9)

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3. J.L. Davison, A class of transcendental numbers with bounded quotients, in Number Theory and Applications, Banff, AB, 1988, NATO Advanced Science Institutes Series C, Mathematical and Physical Sciences, no. 265 pp. 365-371 (Kluwer, Dordrecht, 1989).
4. J.L. Davison, Levy constants for classes of continued fractions (unpublished).
5. C. Faivre, Distribution of Lévy constants for quadratic numbers, Acta Arithm. 61 (1992), 113-134.
6. G. Hardy and E. Wright, An introduction to the theory of numbers (Oxford University Press, 1975).
7. H. Jager and P. Liardet, Distributions arithmétiques des dénominateurs de convergents de fractions continues, Nederl. Akad. Wetensch. Indag. Math. 50 (1988), 182-197.
8. S. Lang, An introduction to Diophantine approximation (Addison-Wesley, 1966).
9. W. Schmidt, On simultaneous approximation of two algebraic numbers by rationals, Acta Math. 119 (1967), 27-50.