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arXiv · 2303.02208

Six equations in search of a finite-fold-ness proof

Domenico Cantone·Luca Cuzziol·Eugenio G. Omodeo
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Abstract

By following the same construction pattern which Martin Davis proposed in a 1968 paper of his, we have obtained six quaternary quartic Diophantine equations that candidate as `rule-them-all' equations: proving that one of them has only a finite number of integer solutions would suffice to ensure that each recursively enumerable set admits a finite-fold polynomial Diophantine representation.

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Domenico Cantone, Luca Cuzziol, Eugenio G. Omodeo. 2023-03-03. Six equations in search of a finite-fold-ness proof. https://arxiv.org/abs/2303.02208

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