Approximants de Padé simultanés de logarithmes. (Simultaneous Padé approximants of logarithms)
type: Item
instance of: scholarly article
title: Approximants de Padé simultanés de logarithmes. (Simultaneous Padé approximants of logarithms)
zbMATH Open document ID: 0596.10033
DOI: 10.1016/0022-314X(86)90036-3
author: Georges Rhin
author: Philippe Toffin
published in: Journal of Number Theory
publication date: 1986-01-01T00:00:00Z
review text: By constructing explicit simultaneous Padé approximations the authors manage to give explicit lower bounds for certain linear forms in logarithms. Although the lower bound is extremely good in comparison with Baker's estimates, the range of applicability is very limited. A typical example is: \[ | a+b \log (3/4)+c \log (5/4)| \quad \geq \quad \exp (-(88 \log H+196)), \] where a,b,c\(\in {\mathbb{Z}}\) not all zero, \(H=\max (| b|, | c|)\).
Mathematics Subject Classification ID: 11J81
zbMATH DE Number: 3959548
zbMATH Keywords: simultaneous Padé approximations
zbMATH Keywords: explicit lower bounds
zbMATH Keywords: linear forms in logarithms
reviewed by: Frits Beukers
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3959548