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On the number of coprime integral solutions of y2 = x3 + k |
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| Authors: | S.P. Mohanty A.M.S. Ramasamy |
| Affiliation: | Department of Mathematics, Indian Institute of Technology, Kanpur-208016, U.P. India |
| Abstract: | Let N′(k) denote the number of coprime integral solutions x, y of y2 = x3 + k. It is shown that lim supk→∞N′(k) ≥ 12. |
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