On the structure of solutions graph of the Markoff-Hurwitz equation and recurrence sequences
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866908555831934976 |
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| author | Vyugin, Ilya V. |
| author_facet | Vyugin, Ilya V. |
| contents | We prove that almost all solutions of the Markoff-Hurwitz equation over a residue field modulo $p$ can be obtained from one another by a chain of natural transformations. We also study recurrence sequences considered modulo prime $p$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_19289 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the structure of solutions graph of the Markoff-Hurwitz equation and recurrence sequences Vyugin, Ilya V. Number Theory We prove that almost all solutions of the Markoff-Hurwitz equation over a residue field modulo $p$ can be obtained from one another by a chain of natural transformations. We also study recurrence sequences considered modulo prime $p$. |
| title | On the structure of solutions graph of the Markoff-Hurwitz equation and recurrence sequences |
| topic | Number Theory |
| url | https://arxiv.org/abs/2509.19289 |