A transference inequality for rational approximation to points in geometric progression

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

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Published inHardy-Ramanujan Journal Vol. 42 - Special...
Main Authors Champagne, Jérémy, Roy, Damien
Format Journal Article
LanguageEnglish
Published Hardy-Ramanujan Society 20.05.2020
Subjects
Mathematics
Number Theory
Hausdorff dimension
transference inequalities 2010 Mathematics Subject Classification Primary 11J13
exponents of Diophantine approximation
polynomials
11J83
Secondary 11J82
Online AccessGet full text
ISSN2804-7370
2804-7370
DOI10.46298/hrj.2020.5819

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Abstract We establish a transference inequality conjectured by Badziahin and Bugeaud relating exponents of rational approximation of points in geometric progression.
AbstractList We establish a transference inequality conjectured by Badziahin and Bugeaud relating exponents of rational approximation of points in geometric progression.
Author Champagne, Jérémy
Roy, Damien
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  givenname: Jérémy
  surname: Champagne
  fullname: Champagne, Jérémy
  organization: Department of Mathematics and Statistics [Ottawa]
– sequence: 2
  givenname: Damien
  surname: Roy
  fullname: Roy, Damien
  organization: Department of Mathematics and Statistics [Ottawa]
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Keywords Hausdorff dimension
transference inequalities 2010 Mathematics Subject Classification Primary 11J13
exponents of Diophantine approximation
polynomials
11J83
Secondary 11J82
Language English
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Snippet We establish a transference inequality conjectured by Badziahin and Bugeaud relating exponents of rational approximation of points in geometric progression.
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Number Theory
Title A transference inequality for rational approximation to points in geometric progression
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Volume 42 - Special...
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