Solutions of the Cubic Fermat Equation in Quadratic Fields
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چکیده
We give necessary and sufficient conditions on a squarefree integer d for there to be non-trivial solutions to x + y = z in Q( √ d), conditional on the Birch and Swinnerton-Dyer conjecture. These conditions are similar to those obtained by J. Tunnell in his solution to the congruent number problem.
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