A Note on a Problem of J. Galambos

Authors

LU-MING SHEN
YUE-HUA LIU
YU-YUAN ZHOU

Abstract

For any x\in (0,1], letx = \frac{1}{d_1} + \frac{a_1}{b_1} \frac{1}{d_2} + ··· + \frac{a_1a_2 ··· a_n}{b_1b_2 ··· b_n} \frac{1}{d_{n+1}} + ··· be the Oppenheim series expansion of x. In this paper, we investigate the Hausdorff dimension of the set B_m={x:1

DOI

-

Keywords

Oppenheim series expansion; Restricted Oppenheim series expansion; Lüroth series; Hausdorff dimension

First Page

103

Last Page

109

Recommended Citation

SHEN, LU-MING; LIU, YUE-HUA; and ZHOU, YU-YUAN (2008) "A Note on a Problem of J. Galambos," Turkish Journal of Mathematics: Vol. 32: No. 1, Article 9. Available at: https://journals.tubitak.gov.tr/math/vol32/iss1/9