Some Generalized Fermat-type Equations via Q-Curves and Modularity 

Barroso de Freitas, Nuno Ricardo (Date of defense: 2012-10-22)

The main purpose of this thesis is to apply the modular approach to Diophantine equations to study some Fermat-type equations of signature (r; r; p) with r >/= 5 a fixed prime and “p” varying. In particular, we will study ...