{"docId":6489,"paperId":5819,"url":"https:\/\/hrj.episciences.org\/5819","doi":"10.46298\/hrj.2020.5819","journalName":"Hardy-Ramanujan Journal","issn":"","eissn":"2804-7370","volume":[{"vid":404,"name":"Volume 42 - Special Commemorative volume in honour of Alan Baker - 2019"}],"section":[],"repositoryName":"Hal","repositoryIdentifier":"hal-02307784","repositoryVersion":3,"repositoryLink":"https:\/\/hal.archives-ouvertes.fr\/hal-02307784v3","dateSubmitted":"2019-10-09 03:50:37","dateAccepted":"2020-05-20 09:03:25","datePublished":"2020-05-20 21:49:02","titles":{"en":"A transference inequality for rational approximation to points in geometric progression"},"authors":["Champagne, J\u00e9r\u00e9my","Roy, Damien"],"abstracts":{"en":"We establish a transference inequality conjectured by Badziahin and Bugeaud relating exponents of rational approximation of points in geometric progression."},"keywords":[{"en":"exponents of Diophantine approximation"},{"en":"Hausdorff dimension"},{"en":"polynomials"},{"en":"transference inequalities 2010 Mathematics Subject Classification Primary 11J13"},{"en":"Secondary 11J82"},{"en":"11J83"},"[MATH]Mathematics [math]","[MATH.MATH-NT]Mathematics [math]\/Number Theory [math.NT]"]}