Thu, 21 Aug 2008 14:55:05 BST CiteULike: A_Olympias Dajani http://www.citeulike.org/user/A_Olympia/author/Dajani CiteULike.org en-gb Copyright © 2004-2008 citeulike.org http://www.citeulike.org/user/A_Olympia/article/408038 <i>(1997)</i><br /><br />. In this note the distribution of the approximation coefficients Θ n , associated with the regular continued fraction expansion of numbers x 2 [0; 1), is given under extra conditions on the numerators and denominators of the convergents pn=qn . Similar results are also obtained for S-expansions. Further, a Gauss-Kusmin type theorem is derived for the regular continued fraction expansion under these extra conditions. Contents 1. Introduction 69 2. A Natural Extension of a Skew Product by... A note on the approximation by continued fractions under an extra condition K Dajani C Kraaikamp (1997) 2005-11-25T10:52:05-00:00 1997 continued fractions