EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 65(79), pp. 52--62 (1999)

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A function from diophantine approximations

P. Shiu

Department of Mathematical Sciences \hfill (Received 23 02 1998) Loughborough University Leicestershire LE11 3TU\par United Kingdom

Abstract: Some remarkable properties of a function defined from consideration of Diophantine approximations are established. For example, the function is continuous only at irrational points whose images are transcendental numbers, and the range of the function has Hausdorff dimension 0.

Keywords: Continued fractions, Hausdorff dimension, transcendental numbers

Classification (MSC2000): 11J70; 11J82

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Electronic fulltext finalized on: 1 Nov 2001. This page was last modified: 7 Dec 2001.

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