On the Metrical Theory of a Generalized Continued Fraction Expansion

Details On the Metrical Theory of a Generalized Continued Fraction Expansion On the Metrical Theory of a Generalized Continued Fraction Expansion

2010-10-23

arxiv.org/abs/1010.4863v2

Mathematics

Number Theory

This paper has been withdrawn by the authors. 12 pages

Scientific paper

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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