Some extensions of the modular method and Fermat equations of signature $(13,13,n)$
Some extensions of the modular method and Fermat equations of signature $(13,13,n)$
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 x 13 + y 13 = 3z n has no non-trivial primitive solutions.In particular, we present four elimination techniques which are …