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27 p, 463.9 KB Some extensions of the modular method and Fermat equations of signature (13,13,n) / Billerey, Nicolas (Université Clermont Auvergne) ; Chen, Imin (Simon Fraser University. Department of Mathematics) ; Dembélé, Lassina (University of Luxembourg. Department of Mathematics) ; Dieulefait, Luis (Universitat de Barcelona. Departament d'Algebra i Geometria) ; Freitas, Nuno (Instituto de Ciencias Matemáticas (Madrid, Espanya))
We provide several extensions of the modular method which were motivated by the problem of completing previous work to prove that, for any integer n ≥ 2, the equation x13 + y 13 = 3zn has no non-trivial primitive solutions. [...]
2023 - 10.5565/PUBLMAT6722309
Publicacions matemàtiques, Vol. 67 Núm. 2 (2023) , p. 715-741 (Articles)  

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