Effective irrationality measures for quotients of logarithms of rational numbers

Yann Bugeaud (1)

1 IRMA - 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.

Mots clés: Linear forms in logarithms; Baker's theory; irrationality measure

Domaines: Mathématiques [math]

Yann Bugeaud. Effective irrationality measures for quotients of logarithms of rational numbers. Hardy-Ramanujan Journal, 2015, Volume 38 - 2015, ⟨10.46298/hrj.2015.1359⟩. ⟨hal-01253659⟩