ON AN ELEMENTARY APPROACH TO THE LEBESGUE–NAGELL EQUATION

DOI10.1142/S1793042105000352zbMath1086.11050OpenAlexW2114968535MaRDI QIDQ5716127

Richard A. Mollin

Publication date: 9 January 2006

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042105000352

zbMATH Keywords

quadratic fieldsLebesgue-Nagell equation

Mathematics Subject Classification ID

Quadratic extensions (11R11) Quadratic and bilinear Diophantine equations (11D09) Continued fractions (11A55)

Cites Work

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• On the Diophantine equation \(x^2= y^p+2^kz^p\)
• The diophantine equation \(x^ 2 + 2^ k = y^ n\)
• Orders in quadratic fields. III
• On the Diophantine equation \(x^ 2+a^ 2=2y^ p\).
• Cyclic subgroups of ideal class groups in real quadratic orders
• The diophantine equation x²+C=yⁿ, II

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