An explicit Baker-type lower bound of exponential values

DOI10.1017/S0308210515000049zbMath1387.11059arXiv1309.6053OpenAlexW2963743854MaRDI QIDQ5744592

Kalle Leppälä, Tapani Matala-aho, Anne-Maria Ernvall-Hytönen

Publication date: 18 February 2016

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.6053

zbMATH Keywords

Siegel's lemmatranscendence measurelower bound of linear form

Mathematics Subject Classification ID

Measures of irrationality and of transcendence (11J82) Irrationality; linear independence over a field (11J72)

Related Items (5)

Hermite-Thue equation: Padé approximations and Siegel's lemma ⋮ On a result of Fel'dman on linear forms in the values of some \(E\)-functions ⋮ Explicit lower bounds for linear forms ⋮ On Baker type lower bounds for linear forms ⋮ A Geometric Face of Diophantine Analysis

Cites Work

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• Explicit irrationality measures for continued fractions
• Remarks on Mahler's transcendence measure for \(e\)
• 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

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