Jérémy Champagne ; Damien Roy - A transference inequality for rational approximation to points in geometric progression

hrj:5819 - Hardy-Ramanujan Journal, May 20, 2020, Volume 42 - Special Commemorative volume in honour of Alan Baker - 2019 - https://doi.org/10.46298/hrj.2020.5819
A transference inequality for rational approximation to points in geometric progression

Authors: Jérémy Champagne ; Damien Roy

    We establish a transference inequality conjectured by Badziahin and Bugeaud relating exponents of rational approximation of points in geometric progression.

    https://doi.org/10.46298/hrj.2020.5819
    Source : oai:HAL:hal-02307784v3
    Volume: Volume 42 - Special Commemorative volume in honour of Alan Baker - 2019
    Published on: May 20, 2020
    Accepted on: May 20, 2020
    Submitted on: October 9, 2019
    Keywords: exponents of Diophantine approximation,Hausdorff dimension,polynomials,transference inequalities 2010 Mathematics Subject Classification Primary 11J13,Secondary 11J82,11J83,[MATH]Mathematics [math],[MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT]
    Fundings :
      Source : OpenAIRE Graph
    • Funder: Natural Sciences and Engineering Research Council of Canada

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