On the positive integral solutions of the Diophantine equation \(x^3+by+1-xyz=0\)

zbMath1153.11015MaRDI QIDQ957531

Florian Luca, Alain S. Togbé

Publication date: 27 November 2008

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/54919

zbMATH Keywords

counting solutions of Diophantine equationscubic Diophantine equations

Mathematics Subject Classification ID

Counting solutions of Diophantine equations (11D45) Cubic and quartic Diophantine equations (11D25)

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On the Diophantine equation \(ax^{3} + by + c = xyz\) ⋮ On the positive integral solutions of the Diophantine equation \(x^3 + by + 1 - xyz = 0\) ⋮ Generalized fruit Diophantine equation and hyperelliptic curves ⋮ On the Diophantine equation \(ax^3 + by + c = xyz\) ⋮ Lenstra theorem in number fields ⋮ A class of fruit Diophantine equations

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