Power values of power sums: a survey
Number Theory
2023-07-28 v2
Abstract
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.
Cite
@article{arxiv.2306.05168,
title = {Power values of power sums: a survey},
author = {Nirvana Coppola and Mar Curcó-Iranzo and Maleeha Khawaja and Vandita Patel and Özge Ülkem},
journal= {arXiv preprint arXiv:2306.05168},
year = {2023}
}
Comments
Added additional references and open problems. This collaboration was formed from the Women in Numbers Europe 4 workshop