The solution of $y^{2}+^{2n}=x^{3}$
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- by Stanley Rabinowitz PDF
- Proc. Amer. Math. Soc. 62 (1977), 1-6 Request permission
Abstract:
All solutions to the diophantine equation \begin{equation}\tag {$\ast $}{y^2} + \gamma {2^n} = {x^3};\quad \gamma = \pm 1,\end{equation} are found.References
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- Ove Hemer, On the solvability of the Diophantine equation $ax^2+by^2+cz^2=0$ in imaginary Euclidean quadratic fields, Ark. Mat. 2 (1952), 57โ82. MR 49917, DOI 10.1007/BF02591382 W. J. Le Veque, Topics in number theory, Vol. II, Addison-Wesley, Reading, Mass., 1961.
Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 62 (1977), 1-6
- MSC: Primary 10B25
- DOI: https://doi.org/10.1090/S0002-9939-1977-0424678-9
- MathSciNet review: 0424678