Research on power values of power sums has gained much attention of late,
partially due to the explosion of refinements in multiple advanced tools in
(computational) Number Theory in recent years. In this survey, we present the
key tools and techniques employed thus far in the (explicit) resolution of
Diophantine problems, as well as an overview of existing results. We also state
some open problems that naturally arise in the process.Comment: This collaboration was formed from the Women in Numbers Europe 4
worksho