On consecutive integer solutions for $y^{2}-k=x^{3}$
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- by S. P. Mohanty PDF
- Proc. Amer. Math. Soc. 48 (1975), 281-285 Request permission
Abstract:
In this paper the number of $k$’s having a given number of consecutive integer solutions either for $x$ or for $y$ or for both in the equation ${y^2} - k = {x^3}$ has been found.References
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S. P. Mohanty, On the Diophantine equation ${Y^2} - k = {X^3}$, Dissertation, UCLA, 1971.
- S. P. Mohanty, A note on Mordell’s equation $y^{2}=x^{3}+k$, Proc. Amer. Math. Soc. 39 (1973), 645–646. MR 316377, DOI 10.1090/S0002-9939-1973-0316377-5
- L. J. Mordell, Diophantine equations, Pure and Applied Mathematics, Vol. 30, Academic Press, London-New York, 1969. MR 0249355
Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 48 (1975), 281-285
- MSC: Primary 10B10
- DOI: https://doi.org/10.1090/S0002-9939-1975-0357319-8
- MathSciNet review: 0357319