Dergiler / Turkish Journal of Mathematics / 2008 / Cilt: 32 - Sayı: 1
A Note on a Problem of J. Galambos
- Sayfa
- 103–109
- DOI
- —
Özet
For any x\in (0,1], letx = \frac{1}{d1} + \frac{a1}{b1} \frac{1}{d2} + ··· + \frac{a1a2 ··· an}{b1b2 ··· bn} \frac{1}{dn+1} + ··· be the Oppenheim series expansion of x. In this paper, we investigate the Hausdorff dimension of the set Bm={x:1
Abstract
For any x\in (0,1], letx = \frac{1}{d1} + \frac{a1}{b1} \frac{1}{d2} + ··· + \frac{a1a2 ··· an}{b1b2 ··· bn} \frac{1}{dn+1} + ··· be the Oppenheim series expansion of x. In this paper, we investigate the Hausdorff dimension of the set Bm={x:1