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math.NT2009★ 1 cited
Approximation Results for alpha-Rosen Fractions
Cor Kraaikamp, Ionica Smeets
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.…
math.NT2009★ 1 cited
Quilting natural extensions for alpha-Rosen Fractions
Cor Kraaikamp, Thomas A. Schmidt, Ionica Smeets
We give natural extensions for the alpha-Rosen continued fractions of Dajani et al. for a set of small alpha values by appropriately adding and deleting rectangles from the region…