Abstract

In this note, we study the lévy constant of continued fraction expansions. We show that for all x \in [0,1), the upper lévy constant of x is finite except a set with Hausdorff dimension one-half.

DOI

10.3906/mat-0803-12

Keywords

Continued fractions, lévy constant, Hausdorff dimension.

First Page

315

Last Page

320

Recommended Citation

ZHONG, T (2009). A note on the lévy constant for continued fractions. Turkish Journal of Mathematics 33 (4): 315-320. https://doi.org/10.3906/mat-0803-12

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