2009/12/09 by Cor Kraaikamp, Kraaikamp, Cor, Ionica Smeets +1
Mathematics · #11K50 #28D05 #Advanced Mathematical Identities #FOS: Mathematics #Mathematical Dynamics and Fractals #Mathematical functions and polynomials #Number Theory (math.NT) #math.NT #msc:11K50 #msc:28D05
paper · pdf · doi:10.48550/arxiv.0912.1749
31 pages, 11 figures
arxiv created 2009/12/09 · openalex publication_date 2009/12/09 · arxiv updated 2010/01/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.