Asymptotic Fermat's Last Theorem for a family of equations of signature $(2,2n,n)$

Pedro-José Cazorla García

In this paper, we study the integer solutions of a family of Fermat-type equations of signature $(2,2n,n)$, $C{x}^2+q^k{y}^{2n}=z^n$. We provide an algorithmically testable set o…