APPROXIMATION OF AN ALGEBRAIC NUMBER BY PRODUCTS OF RATIONAL NUMBERS AND UNITS

DOI10.1017/S1446788712000663zbMath1300.11026arXiv1312.7203OpenAlexW2963957794WikidataQ57377759 ScholiaQ57377759MaRDI QIDQ5298734

Claude Levesque, Michel Waldschmidt

Publication date: 13 June 2013

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.7203

zbMATH Keywords

Diophantine approximationDiophantine equationsLiouville inequalityfamilies of Thue-Maller equations

Mathematics Subject Classification ID

Thue-Mahler equations (11D59) Linear forms in logarithms; Baker's method (11J86) Approximation to algebraic numbers (11J68) Schmidt Subspace Theorem and applications (11J87) Approximation by numbers from a fixed field (11J17)

Related Items (1)

Thue Diophantine Equations

Cites Work

• On the rational approximations to the powers of an algebraic number: solution of two problems of Mahler and Mendès France
• Familles d'équations de Thue–Mahler n'ayant que des solutions triviales
• Effective results for linear equations in two unknowns from a multiplicative division group

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