The Logarithmic Asymptotic Phenomenon for Generalized Markov-Hurwitz Equations
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866910194714279936 |
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| author | Chen, Zhichao Jia, Zelin Wu, Wenchao |
| author_facet | Chen, Zhichao Jia, Zelin Wu, Wenchao |
| contents | The purpose of this paper is twofold. First, we introduce a family of generalized Markov-Hurwitz equations, extending classical Markov-Hurwitz equations with additional degree n-1 interaction terms, Gyoda and Matsushita's generalized Markov equations from 3 variables to n variables. Second, we prove a logarithmic asymptotic phenomenon for the positive integer solutions of these equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_05075 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The Logarithmic Asymptotic Phenomenon for Generalized Markov-Hurwitz Equations Chen, Zhichao Jia, Zelin Wu, Wenchao Number Theory Combinatorics Dynamical Systems 11D99, 37H99, 05A16 The purpose of this paper is twofold. First, we introduce a family of generalized Markov-Hurwitz equations, extending classical Markov-Hurwitz equations with additional degree n-1 interaction terms, Gyoda and Matsushita's generalized Markov equations from 3 variables to n variables. Second, we prove a logarithmic asymptotic phenomenon for the positive integer solutions of these equations. |
| title | The Logarithmic Asymptotic Phenomenon for Generalized Markov-Hurwitz Equations |
| topic | Number Theory Combinatorics Dynamical Systems 11D99, 37H99, 05A16 |
| url | https://arxiv.org/abs/2605.05075 |