Creating Decidable Diophantine Equations
Fuente:
arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866916281015336960 |
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| author | Dougherty-Bliss, Robert Kenney, Charles Zeilberger, Doron |
| author_facet | Dougherty-Bliss, Robert Kenney, Charles Zeilberger, Doron |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_01483 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Creating Decidable Diophantine Equations Dougherty-Bliss, Robert Kenney, Charles Zeilberger, Doron Number Theory 11D72 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. |
| title | Creating Decidable Diophantine Equations |
| topic | Number Theory 11D72 |
| url | https://arxiv.org/abs/2404.01483 |