A Note on a Problem of J. Galambos

Authors : Lu-ming SHEN, Yue-hua Liu And Yu-yuan ZHOU

Pages : 103-109

View : 19 | Download : 4

Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :For any x\in insert ignore into journalissuearticles values(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
Keywords : Oppenheim series expansion, Restricted Oppenheim series expansion, Lüroth series, Hausdorff dimension