Yann Bugeaud - Effective irrationality measures for quotients of logarithms of rational numbers

hrj:1359 - Hardy-Ramanujan Journal, January 1, 2015, Volume 38 - 2015 - https://doi.org/10.46298/hrj.2015.1359
Effective irrationality measures for quotients of logarithms of rational numbersArticle

Authors: Yann Bugeaud ORCID1

  • 1 Institut de Recherche Mathématique Avancée

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://doi.org/10.46298/hrj.2015.1359
Source: HAL:hal-01253659v1
Volume: Volume 38 - 2015
Published on: January 1, 2015
Imported on: January 14, 2016
Keywords: Linear forms in logarithms,Baker's theory,irrationality measure ,2010 Mathematics Subject Classification 11J82, 11J86,[MATH] Mathematics [math]

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