ON THE DIOPHANTINE EQUATION x2 + 5a 13b = yn

DOI10.1017/S0017089507004028zbMath1186.11016OpenAlexW2155477416MaRDI QIDQ5444677

Fadwa S. Abu Muriefah, Florian Luca, Alain S. Togbé

Publication date: 25 February 2008

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089507004028

Mathematics Subject Classification ID

Computer solution of Diophantine equations (11Y50) Exponential Diophantine equations (11D61)

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Cites Work

• On the Diophantine equation \(x^2+q^{2k+1}=y^n\)
• On Cohn's conjecture concerning the Diophantine equation \(x^2+2^m=y^n\)
• On the diophantine equation \(x^ 2+2^ k=y^ n\)
• The diophantine equation \(x^2+3^m=y^n\)
• On the equation \(x^2 + 2^a \cdot 3^b = y^n\)
• On the Diophantine equation \(x^ 2+a^ 2=2y^ p\).
• Classical and modular approaches to exponential Diophantine equations II. The Lebesgue–Nagell equation