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arXiv · 2404.01483

Creating Decidable Diophantine Equations

Robert Dougherty-Bliss·Charles Kenney·Doron Zeilberger
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Abstract

Generalizing an argument of Matiyasevich, we illustrate a method to generate infinitely many diophantine equations whose solutions can be completely described by linear recurrences. In particular, we provide an integer-coefficient polynomial $p(x, y, z)$ whose only integer roots are consecutive triples of Tribonacci numbers.

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Robert Dougherty-Bliss, Charles Kenney, Doron Zeilberger. 2024-04-01. Creating Decidable Diophantine Equations. https://arxiv.org/abs/2404.01483

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