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A cubic Diophantine equation and a related Diophantine chain (Q1611453)

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scientific article; zbMATH DE number 1785907
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English
A cubic Diophantine equation and a related Diophantine chain
scientific article; zbMATH DE number 1785907

    Statements

    A cubic Diophantine equation and a related Diophantine chain (English)
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    9 December 2002
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    The author gives a complete solution of the cubic Diophantine equation \(f(x,y)= f(u,v)\) where \(f(x,y)\) is an arbitrary cubic form in two variables. A method of generating an arbitrarily long Diophantine chain \(f(\alpha_1,\beta_1)= f(\alpha_2,\beta_2)= \cdots= f(\alpha_n,\beta_n)\) is given.
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    cubic Diophantine equation
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    Diophantine chain
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