On Baker type lower bounds for linear forms

DOI10.4064/aa8243-1-2016zbMath1342.11065arXiv1309.5987OpenAlexW1594507737MaRDI QIDQ2804244

Tapani Matala-aho

Publication date: 28 April 2016

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.5987

zbMATH Keywords

Padé approximationDiophantine approximationlinear forms in the logarithmssimultaneous linear forms

Mathematics Subject Classification ID

Measures of irrationality and of transcendence (11J82) Simultaneous homogeneous approximation, linear forms (11J13) Metric theory (11J83) Linear forms in logarithms; Baker's method (11J86)

Related Items (3)

Explicit results for Euler’s factorial series in arithmetic progressions under GRH ⋮ On a result of Fel'dman on linear forms in the values of some \(E\)-functions ⋮ A Geometric Face of Diophantine Analysis

Cites Work

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• Explicit irrationality measures for continued fractions
• Diophantine approximation
• An introduction to the geometry of numbers.
• On a paper by A. Baker on the approximation of rational powers of e
• Lower bounds for polynomials in the values of certain entire functions
• Baker-Type Estimates for Linear Forms in the Values of q-Series
• On Some Diophantine Inequalities Involving the Exponential Function
• An explicit Baker-type lower bound of exponential values

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