A generalization of a theorem of Cohn on the equation \(x^3-Ny^2=\pm 1\)

DOI10.1216/rmjm/1020171571zbMath0989.11016OpenAlexW2045844565MaRDI QIDQ5948863

Florian Luca, Peter Gareth Walsh

Publication date: 12 November 2001

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/Vol31-2/CONT31-2/CONT31-2.html

zbMATH Keywords

elliptic curvesinteger pointscubic diophantine equationLucas sequencerecurrence sequences

Mathematics Subject Classification ID

Recurrences (11B37) Cubic and quartic Diophantine equations (11D25)

Related Items (1)

Integer points on the curve $Y^{2}=X^{3}\pm p^{k}X$

Cites Work

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• A note on a theorem of Ljunggren and the diophantine equations \(x^2-kxy^2+y^4=1,4\)
• The Diophantine equation x⁴ - Dy² = 1, II
• The Diophantine equation X² - db²Y⁴ = 1
• The Diophantine equation $b^2X^4-dY^2=1$
• Solving elliptic diophantine equations by estimating linear forms in elliptic logarithms. The case of quartic equations
• Recent Progress on Certain Quartic Diophantine Equations
• THE DIOPHANTINE EQUATIONS x³=Ny²±1

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