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On a Diophantine equation. (English) Zbl 0171.00802

Formulae are given furnishing all non-trivial integer solutions of the equation \[ (x^2-t^2)(y^2-t^2)=\biggl(\biggl({y-x\over 2}\biggr)^2-t^2\biggr)^2 \] considered for \(t=1\) by the reviewer and W. Sierpiński [Elem. Math. 18, 132–133 (1963; Zbl 0126.07301)].

MSC:

11D25 Cubic and quartic Diophantine equations

Citations:

Zbl 0126.07301
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