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

C. Ganatsiou

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 28, 1-7

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.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:721734

DOI: 10.1155/S0161171201006196

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