%0 Journal Article
%T Solving Fermat-type equations x^5+y^5=dz^p
%A Nicolas Billerey
%A Luis Dieulefait
%J Mathematics
%D 2008
%I arXiv
%X In this paper we are interested in solving the Fermat-type equations x^5+y^5=dz^p where d is a positive integer and p a prime number $\ge 7$. We describe a new method based on modularity theorems which allows us to improve all the results in a previous paper of the first author. We finally discuss the present limitations of the method by looking at the case d=3.
%U http://arxiv.org/abs/0802.1217v2