Sur L'équation Diophantienne (x n −1)/(x −1)=y q

DOI10.1112/PLMS/84.1.59zbMath1102.11305OpenAlexW2764361816MaRDI QIDQ2766441

Guillaume Hanrot, Maurice Mignotte, Yann Bugeaud

Publication date: 28 January 2002

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

Full work available at URL: https://doi.org/10.1112/plms/84.1.59

Mathematics Subject Classification ID

Computer solution of Diophantine equations (11Y50) Exponential Diophantine equations (11D61) Higher degree equations; Fermat's equation (11D41) Linear forms in logarithms; Baker's method (11J86)

Related Items (8)

On the use of explicit bounds on residues of Dedekind zeta functions taking into account the behavior of small primes ⋮ New bounds and conditions for the equation of Nagell-Ljunggren ⋮ Class Number Conditions for the Diagonal Case of the Equation of Nagell and Ljunggren ⋮ Homogeneous forms of degree 3 and \(p\)-th powers ⋮ On the class groups of cyclotomic extensions in presence of a solution to Catalan's equation ⋮ The Generalized Nagell–Ljunggren Problem: Powers with Repetitive Representations ⋮ Finite simple groups with Hall \(\{2, r\}\)-subgroups, \(r \in \pi(G)\setminus\{2 , t\}\), \(t \in \pi (G)\) ⋮ The Nagell-Ljunggren equation via Runge's method

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