arXiv:1010.4863 Abstract | arXiv Analytics

arXiv:1010.4863 [math.NT]Abstract References Reviews Resources

On the Metrical Theory of a Generalized Continued Fraction Expansion

Published 2010-10-23, updated 2010-11-23Version 2

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.

Comments: This paper has been withdrawn by the authors. 12 pages

Categories: math.NT

Subjects: 11A55, 11K50, 11J70, 28D05, 40A15

Keywords: generalized continued fraction expansion, metrical theory, incomplete quotients, invariant measures, continued fraction transformations

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