On some classes of homogeneous ternary cubic Diophantine equations

DOI10.1007/BF02386196zbMath0301.10021MaRDI QIDQ1215656

Erik Dofs

Publication date: 1975

Published in: Arkiv för Matematik (Search for Journal in Brave)

zbMATH Keywords

rational transformationshomogeneous ternary cubic Diophantine equations

Mathematics Subject Classification ID

Forms of degree higher than two (11E76) Cubic and quartic Diophantine equations (11D25)

Related Items (7)

On a remark of Sierpiński ⋮ A family of elliptic curves and cyclic cubic field extensions ⋮ Two more representation problems ⋮ A generalization of a result of Hurwitz and Mordell on the torsion subgroups of certain elliptic curves ⋮ Integer values of \(\sum (x^2/yz)\) ⋮ Unsolvable cases of \(P^3+Q^3+cR^3=dPQR\) ⋮ Two exponential Diophantine equations

Cites Work

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• The vanishing of the homogeneous product sum of the roots of a cubic
• The Diophantine equation \(ax^3+by^3+cz^3=0\)
• On a diophantine equation
• Sur le problème de M. Werner Mnich

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