# Winding quotients and some variants of Fermat's Last Theorem.

@article{Merel1997WindingQA,
title={Winding quotients and some variants of Fermat's Last Theorem.},
author={L. Merel and H. Darmon},
journal={Journal f{\"u}r die reine und angewandte Mathematik (Crelles Journal)},
year={1997},
volume={1997},
pages={100 - 81}
}
• Published 1997
• Mathematics
• Journal für die reine und angewandte Mathematik (Crelles Journal)
giving an abundant but rather uninteresting supply of solutions to equation (2). It is natural to restrict ones attention to the primitive solutions, which is what we will do from now on. Equations (1), (2) and (3) also have certain obvious “trivial” solutions: a solution is called trivial if xyz = 0 or ±1, and is called non-trivial otherwise. The work of Hellegouarch, Frey [12], Serre [27], and Ribet [24] relating Fermat’s Last Theorem to the Shimura-Taniyama conjecture (and the precise
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