eng
episciences.org
Hardy-Ramanujan Journal
2804-7370
2015-01-01
Volume 38 - 2015
10.46298/hrj.2015.1359
1359
journal article
Effective irrationality measures for quotients of logarithms of rational numbers
Yann Bugeaud
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.
https://hrj.episciences.org/1359/pdf
Linear forms in logarithms
Baker's theory
irrationality measure
2010 Mathematics Subject Classification 11J82, 11J86
[MATH] Mathematics [math]