Title of article :
A note on the lévy constant for continued fractions
Author/Authors :
Zhong, Ting Jishou University - Department of Mathematics, CHINA
Abstract :
In this note, we study the lévy constant of continued fraction expansions. We show that for all x ∈ [0, 1), the upper lévy constant of x is finite except a set with Hausdorff dimension one-half
Keywords :
Continued fractions , lévy constant , Hausdorff dimension
Journal title :
Turkish Journal of Mathematics
Journal title :
Turkish Journal of Mathematics
