The Mordell-Schinzel conjecture is proven for cubic equations of the form xyz = A(x) + B(y) - c when A and B have degree 3.
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The Mordell-Schinzel conjecture for cubic diophantine equations
The Mordell-Schinzel conjecture is proven for cubic equations of the form xyz = A(x) + B(y) - c when A and B have degree 3.