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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Bibliographic Details
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
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ISSN2804-7370
2804-7370
DOI10.46298/hrj.2020.5819

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Summary:We establish a transference inequality conjectured by Badziahin and Bugeaud relating exponents of rational approximation of points in geometric progression.
ISSN:2804-7370
2804-7370
DOI:10.46298/hrj.2020.5819