ON THE SUM OF CONSECUTIVE CUBES BEING A PERFECT SQUARE

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STROEKER, RJ
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O1 [数学];
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0701 ; 070101 ;
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In this paper estimates of linear forms in elliptic logarithms are applied to solve the problem of determining, for given n greater than or equal to 2, all sets of n consecutive cubes adding up to a perfect square. Use is made of a lower bound of linear forms in elliptic logarithms recently obtained by Sinnou David. Complete sets of solutions are provided for all n between 2 and 50, and for n = 98.
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页码:295 / 307
页数:13
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