International Journal of Mathematics and Mathematical Sciences
Volume 28 (2001), Issue 6, Pages 367-373
On some properties of the Lüroth-type alternating series representations for real numbers
Technological Educational Institute of Larissa, School of Technological Applications, Department of Exact Sciences, Section of Mathematics, Larissa, Greece
Received 3 November 2000
Copyright © 2001 C. Ganatsiou. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We investigate some properties connected with the
alternating Lüroth-type series representations for real numbers,
in terms of the integer digits involved. In particular, we
establish the analogous concept of the asymptotic density and the
distribution of the maximum of the first denominators, by applying appropriate limit theorems.