On the Metrical Theory of a Generalized Continued Fraction Expansion

2010/10/23 by Dan Lascu, Lascu, Dan, Katsunori Kawamura +1
Mathematics · #11A55 #11J70 #11K50 #28D05 #40A15 #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11A55 #msc:11J70 #msc:11K50 #msc:28D05 #msc:40A15

paper · pdf · doi:10.48550/arxiv.1010.4863

This paper has been withdrawn by the authors. 12 pages

arxiv created 2010/11/23 · arxiv updated 2010/11/24

Abstract

We introduced a new continued fraction expansions in our previous paper. For these expansions, we show formulae of probability about incomplete quotients. Furthermore, we prove the existence of invariant measures with respect to the continued fraction transformations associated with expansions.

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