Familles d'équations de Thue–Mahler n'ayant que des solutions triviales

DOI10.4064/aa155-2-1zbMath1304.11016arXiv1312.7202OpenAlexW2073133030WikidataQ57377761 ScholiaQ57377761MaRDI QIDQ2919673

Claude Levesque, Michel Waldschmidt

Publication date: 5 October 2012

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

Full work available at URL: https://arxiv.org/abs/1312.7202

zbMATH Keywords

Diophantine equationsSchmidt subspace theoremfamilies of Thue-Mahler equationsunits of algebraic number fields

Mathematics Subject Classification ID

Thue-Mahler equations (11D59) Counting solutions of Diophantine equations (11D45) Cubic and quartic Diophantine equations (11D25) Exponential Diophantine equations (11D61) Schmidt Subspace Theorem and applications (11J87)

Related Items (4)

APPROXIMATION OF AN ALGEBRAIC NUMBER BY PRODUCTS OF RATIONAL NUMBERS AND UNITS ⋮ Effective irrationality measures for real and p-adic roots of rational numbers close to 1, with an application to parametric families of Thue–Mahler equations ⋮ FAMILIES OF THUE EQUATIONS ASSOCIATED WITH A RANK ONE SUBGROUP OF THE UNIT GROUP OF A NUMBER FIELD ⋮ Thue Diophantine Equations

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