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Numerical solutions of the Diophantine equation $ y\sp{3}-x\sp{2}=k$


Authors: M. Lal, M. F. Jones and W. J. Blundon
Journal: Math. Comp. 20 (1966), 322-325
MSC: Primary 10.12
DOI: https://doi.org/10.1090/S0025-5718-1966-0191871-3
MathSciNet review: 0191871
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References [Enhancements On Off] (What's this?)

  • [1] L. J. Mordell, A Chapter in the Theory of Numbers, Cambridge at the University Press and Macmillan, New York, 1947. MR 8, 502. MR 0020093 (8:502d)
  • [2] B. M. Delone & D. K. Faddeev, The Theory of Irrationalities of the Third Degree, (English translation), Transi. Math. Monographs, Vol. 10, Amer. Math. Soc, Providence, R.I., 1964. MR 28 #3955. MR 0160744 (28:3955)
  • [3] O. Hemer, "Notes on the Diophantine equations $ \mathop {{y^2} - k = {x^3}}\limits_{x \to \infty } $," Ark. Mat., v. 3, 1954, pp. 67-77. MR 15, 776. MR 0061115 (15:776h)
  • [4] W. Ljunggren, "On the Diophantine equation $ {y^2} - k = {x^3}$," Acta Arilh., v. 8, 1963, pp. 451-463. MR 28 #2082.

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Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1966-0191871-3
Article copyright: © Copyright 1966 American Mathematical Society

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