FAMILIES OF THUE EQUATIONS ASSOCIATED WITH A RANK ONE SUBGROUP OF THE UNIT GROUP OF A NUMBER FIELD

DOI10.1112/S0025579317000262zbMath1428.11060arXiv1701.01230OpenAlexW2614517584MaRDI QIDQ4604482

Claude Levesque, Michel Waldschmidt

Publication date: 26 February 2018

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.01230

Mathematics Subject Classification ID

Thue-Mahler equations (11D59) Exponential Diophantine equations (11D61) Higher degree equations; Fermat's equation (11D41)

Related Items (1)

Thue Diophantine Equations

Cites Work

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• Solving effectively some families of Thue Diophantine equations
• A family of Thue equations involving powers of units of the simplest cubic fields
• Effective asymptotics of linear recurrences with rational coefficients
• Families of Cubic Thue Equations with Effective Bounds for the Solutions
• Familles d'équations de Thue–Mahler n'ayant que des solutions triviales
• Unit Equations in Diophantine Number Theory
• Familles d’équations de Thue associées à un sous-groupe de rang 1 d’unités totalement réelles d’un corps de nombres
• Bounds for the solutions of Thue-Mahler equations and norm form equations
• Solving simultaneously Thue equations in the almost totally imaginary case

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