The diophantine equation \(x^3-3xy^2-y^3=1\) and related equations

DOI10.1016/0022-314X(84)90053-2zbMath0552.10008MaRDI QIDQ800953

Nicholas Tzanakis

Publication date: 1984

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

zbMATH Keywords

binary cubic formbinary quartic form\(Ay^ 2+B=x^ 3\)\(x^ 2+3=4y^ 3\)binary cubic equationsbinary quartic equationsSkolem's p-adic method

Mathematics Subject Classification ID

Cubic and quartic Diophantine equations (11D25)

Related Items

On the application of Skolem's p-adic method to the solution of Thue equations ⋮ Extremal families of cubic Thue equations ⋮ Complete solutions to a family of cubic Diophantine equations ⋮ On the diophantine equation \(2x^ 3+1=py^ 2\)

Cites Work

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• On Mordell's equation \(y^2-k=x^3\): an interesting case of Sierpiński
• Algebraic Number-Fields with two Independent Units
• On the diophantine equation y²-k=x³
• On the representation of integers by certain binary cubic and biquadratic forms