The solution of $3y^2 \pm 2^n = x^3$
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- by Stanley Rabinowitz PDF
- Proc. Amer. Math. Soc. 69 (1978), 213-218 Request permission
Abstract:
The diophantine equation \begin{equation}\tag {$\ast $} \quad 3{y^2} + {2^n}\gamma = {x^3},\quad {\text {with}}\;\gamma = \pm 1\end{equation} is solved.References
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O. Hemer, On the Diophantine equation ${y^2} - k = {x^3}$, Thesis, Univ. of Uppsala, Almqvist & Wiksells, Uppsala, 1952. MR 14, 354.
W. J. LeVeque, Topics in number theory, Vol. II, Addison-Wesley, Reading, Mass., 1961.
- Stanley Rabinowitz, The solution of $y^{2}+^{2n}=x^{3}$, Proc. Amer. Math. Soc. 62 (1976), no. 1, 1–6 (1977). MR 424678, DOI 10.1090/S0002-9939-1977-0424678-9 B. L. van der Waerden, Modern algebra, Vol. I, Ungar, New York, 1949.
Additional Information
- © Copyright 1978 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 69 (1978), 213-218
- MSC: Primary 10B10
- DOI: https://doi.org/10.1090/S0002-9939-1978-0480326-4
- MathSciNet review: 0480326