Solving a Specific Thue-Mahler Equation

DOI10.2307/2938718zbMath0738.11029OpenAlexW4239407323MaRDI QIDQ3980481

Benjamin M. M. de Weger, Nicholas Tzanakis

Publication date: 26 June 1992

Full work available at URL: https://doi.org/10.2307/2938718

zbMATH Keywords

linear forms in \(p\)-adic logarithmscubic diophantine equationsThue-Mahler equationlinear forms in real logarithmssieving procedureLLL-lattice basis reductionsmall upper bounds

Mathematics Subject Classification ID

Computer solution of Diophantine equations (11Y50) Cubic and quartic Diophantine equations (11D25) Linear forms in logarithms; Baker's method (11J86)

Related Items (7)

Differences between perfect powers: The Lebesgue-Nagell equation ⋮ Solving 𝑆-unit, Mordell, Thue, Thue–Mahler and Generalized Ramanujan–Nagell Equations via the Shimura–Taniyama Conjecture ⋮ Computing Elliptic Curves over $$\mathbb{Q}$$ : Bad Reduction at One Prime ⋮ Computing elliptic curves over $\mathbb {Q}$ ⋮ Computing All Elliptic Curves Over an Arbitrary Number Field with Prescribed Primes of Bad Reduction ⋮ The Solution of Triangularly Connected Decomposable Form Equations ⋮ Unnamed Item

Cites Work

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• On the practical solution of the Thue equation
• Factoring polynomials with rational coefficients
• Linear forms in p-adic logarithms
• Elliptic Curves of Conductor 11
• A lower bound for linear forms in logarithms

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