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 1; Damien Roy 1

  • 1 Department of Mathematics and Statistics [Ottawa]

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: 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]
Funding:
    Source : OpenAIRE Graph
  • Funder: Natural Sciences and Engineering Research Council of Canada

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