Approximation Results for alpha-Rosen Fractions

Details Approximation Results for alpha-Rosen Fractions Approximation Results for alpha-Rosen Fractions

2009-12-09

arxiv.org/abs/0912.1749v1

Mathematics

Number Theory

31 pages, 11 figures

Scientific paper

In this article we generalize Borel's classical approximation results for the
regular continued fraction expansion to the alpha-Rosen fraction expansion,
using a geometric method. We give a Haas-Series-type result about all possible
good approximations for the alpha for which the Legendre constant is larger
than the Hurwitz constant.

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