{"docId":1359,"paperId":1359,"url":"https:\/\/hrj.episciences.org\/1359","doi":"10.46298\/hrj.2015.1359","journalName":"Hardy-Ramanujan Journal","issn":"","eissn":"2804-7370","volume":[{"vid":48,"name":"Volume 38 - 2015"}],"section":[],"repositoryName":"Hal","repositoryIdentifier":"hal-01253659","repositoryVersion":1,"repositoryLink":"https:\/\/hal.science\/hal-01253659v1","dateSubmitted":"2016-01-14 16:08:59","dateAccepted":"2016-01-14 16:08:59","datePublished":"2015-01-01 08:00:00","titles":{"en":"Effective irrationality measures for quotients of logarithms of rational numbers"},"authors":["Bugeaud, Yann"],"abstracts":{"en":"We establish uniform irrationality measures for the quotients of the logarithms of two rational numbers which are very close to 1. Our proof is based on a refinement in the theory of linear forms in logarithms which goes back to a paper of Shorey."},"keywords":[["Linear forms in logarithms"],["Baker's theory"],["irrationality measure"],"2010 Mathematics Subject Classification 11J82, 11J86","[MATH] Mathematics [math]"]}