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Publicado en línea: 28 mar 2018
Páginas: 315 - 322
Recibido: 29 nov 2017
DOI: https://doi.org/10.1515/forma-2017-0029
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© by Karol Pak
This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 International (CC BY-SA 4.0) License.
In this article, we prove selected properties of Pell’s equation that are essential to finally prove the Diophantine property of two equations. These equations are explored in the proof of Matiyasevich’s negative solution of Hilbert’s tenth problem.