Effective irrationality measures for quotients of logarithms of rational numbers
Authors: 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.
Keywords: Linear forms in logarithms,Baker's theory,irrationality measure ,2010 Mathematics Subject Classification 11J82, 11J86,[MATH] Mathematics [math]