International Journal of Mathematics and Mathematical Sciences 
Volume 28 (2001), Issue 6, Pages 367-373
doi:10.1155/S0161171201006196

On some properties of the Lüroth-type alternating series representations for real numbers

C. Ganatsiou

 Technological Educational Institute of Larissa, School of Technological Applications, Department of Exact Sciences, Section of Mathematics, Larissa, Greece
Received 3 November 2000

Abstract

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 n denominators, by applying appropriate limit theorems.