Original Articles

ON THE ASYMPTOTIC BEHAVIOUR OF THE DIGITS OF CONTINUED FRACTIONS WITH ODD PARTIAL QUOTIENTS

Published in: Quaestiones Mathematicae
Volume 18 , issue 4 , 1995 , pages: 517–526

DOI: 10.1080/16073606.1995.9631818

Author(s): C. Ganatsiou Department of Mathematics, Faculty of Sciences, Greece

Keywords: 11K55

Abstract

The asymptotic behaviour of the digits a_n and e_n of continued fractions with odd partial quotients is investigated in the context of dependence with complete connections. In particular, we obtain a formula for the geometric mean of partial denominators and the relative frequency of a pair (a, ε) of digits.

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