Elliptic binomial diophantine equations |
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| Authors: | Roelof J Stroeker Benjamin M M de Weger |
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| Institution: | Econometric Institute, Erasmus University Rotterdam, P.O. Box 1738, 3000 DR Rotterdam, The Netherlands ; Sportsingel 30, 2924 XN Krimpen aan den ijssel, The Neterlands |
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| Abstract: | The complete sets of solutions of the equation  are determined for the cases  ,  ,  ,  ,  ,  ,  ,  . In each of these cases the equation is reduced to an elliptic equation, which is solved by using linear forms in elliptic logarithms. In all but one case this is more or less routine, but in the remaining case ( ) we had to devise a new variant of the method. |
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| Keywords: | Diophantine equation elliptic curve binomial coefficient |
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