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arXiv · 2306.05168

Power values of power sums: a survey

Nirvana Coppola·Mar Curcó-Iranzo·Maleeha Khawaja·Vandita Patel·Özge Ülkem
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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.

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Nirvana Coppola, Mar Curcó-Iranzo, Maleeha Khawaja, Vandita Patel, Özge Ülkem. 2023-06-08. Power values of power sums: a survey. https://arxiv.org/abs/2306.05168

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