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

DOI10.1007/s11139-012-9456-9zbMath1369.11025OpenAlexW2024547574MaRDI QIDQ386498

Sivanarayanapandian Subburam

Publication date: 9 December 2013

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-012-9456-9

zbMATH Keywords

weight functioncubic Diophantine equation

Mathematics Subject Classification ID

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

Related Items (3)

On the Diophantine equation \(ax^{3} + by + c = xyz\) ⋮ On the Diophantine equation \(ax^3 + by + c = xyz\) ⋮ Lenstra theorem in number fields

Cites Work

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• On the positive integral solutions of the Diophantine equation \(x^3+by+1-xyz=0\)
• Positive solutions of the Diophantine equation
• Divisors in Residue Classes

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