Soit p un nombre premier. Au début des années 2000, il a été démontré que les équations de Fermat à coefficients
Let p be a prime number. In the early 2000s, it was proved that the Fermat equations with coefficients
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@article{CRMATH_2016__354_8_751_0, author = {Freitas, Nuno and Kraus, Alain}, title = {An application of the symplectic argument to some {Fermat-type} equations}, journal = {Comptes Rendus. Math\'ematique}, pages = {751--755}, publisher = {Elsevier}, volume = {354}, number = {8}, year = {2016}, doi = {10.1016/j.crma.2016.06.002}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2016.06.002/} }
TY - JOUR AU - Freitas, Nuno AU - Kraus, Alain TI - An application of the symplectic argument to some Fermat-type equations JO - Comptes Rendus. Mathématique PY - 2016 SP - 751 EP - 755 VL - 354 IS - 8 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2016.06.002/ DO - 10.1016/j.crma.2016.06.002 LA - en ID - CRMATH_2016__354_8_751_0 ER -
%0 Journal Article %A Freitas, Nuno %A Kraus, Alain %T An application of the symplectic argument to some Fermat-type equations %J Comptes Rendus. Mathématique %D 2016 %P 751-755 %V 354 %N 8 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2016.06.002/ %R 10.1016/j.crma.2016.06.002 %G en %F CRMATH_2016__354_8_751_0
Freitas, Nuno; Kraus, Alain. An application of the symplectic argument to some Fermat-type equations. Comptes Rendus. Mathématique, Tome 354 (2016) no. 8, pp. 751-755. doi : 10.1016/j.crma.2016.06.002. http://archive.numdam.org/articles/10.1016/j.crma.2016.06.002/
[1] On the Fermat-type equation , Comment. Math. Helv. (2016) (in press)
[2] Fermat's Last Theorem over some small real quadratic fields, Algebra Number Theory, Volume 9 (2015) no. 4, pp. 875-895
[3] Courbes de Fermat : résultats et problèmes, J. Reine Angew. Math., Volume 548 (2002), pp. 167-234
[4] Sur une question de B. Mazur, Math. Ann., Volume 293 (1992), pp. 259-275
[5] Sur les représentations modulaires de degré 2 de , Duke Math. J., Volume 54 (1987), pp. 179-230
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