Asymptotic solutions of the generalized Fermat-type equation of signature $(p,p,3)$ over totally real number fields

Satyabrat Sahoo, Narasimha Kumar

In this article, we study the asymptotic solutions of the generalized Fermat-type equation of signature $(p,p,3)$ over totally real number fields $K$, i.e., $A{x}^p+B{y}^p=C{z}^3$ with p…