References

AN ITERATED LOGARITHM TYPE THEOREM FOR THE OPPENHEIM EXPANSION


[1] A. H. Fan, B. W. Wang and J. Wu, Arithmetic and metric properties of Oppenheim continued fraction expansions, Journal of Number Theory 127 (2007), 64-82.

[2] J. Galambos, The ergodics properties of the denominators in Oppenheim expansion of real numbers into infinite series of rationals, Quart. J. Math. Oxford Sec., Series 25 (1970), 177-191.

[3] A. Galambos, The representation of real numbers by infinite series of rationals, Acta Arith. 18 (1971), 115-124.

[4] J. Galambos, On the speed of convergence of the Oppenheim series, Acta Arith. 19 (1971), 335-342.

[5] J. Galambos, Representation of Real Numbers by Infinite Series, Lecture Notes in Math. 502, Springer, 1976.

[6] J. Galambos, For the metric results on series expansions, Publ. Math. Debrecen 52(3-4) (1989), 377-384.

[7] H. Jager and C. De Vroedt, Lüroth series and their ergodic properties, Proc. K. Nederl. Akad. Wet. A 72 (1969), 31-42.

[8] B. W. Wang, Some metric properties in Engel continued fraction expansions, Journal of Mathematics (Chinese) 05 (2005), 541-544.