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On the Diophantine Equation x(x + d)(x + 2d) +y(y + d)(y + 2d) = z(z + d)(z + 2d)

Published online by Cambridge University Press:  20 November 2018

Leon Bernstein
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Abstract

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A previous result of the author concerning the parametric representation of infinitely many solutions of the title equation is strongly improved. New classes each containing infinitely many solutions of the equation for specified values of d are stated explicitly. The method of solution hinges heavily on solving the generalized Pell’s equation x2—Dy2=c.

Keywords

10 B10(Diophantine EquationsCubicQuartic Equations)
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 17 , Issue 1 , 01 March 1974 , pp. 27 - 34
Copyright
Copyright © Canadian Mathematical Society 1974

References

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