The Logarithmic Asymptotic Phenomenon for Generalized Markov-Hurwitz Equations
Number Theory
2026-05-07 v1 Combinatorics
Dynamical Systems
Abstract
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.
Keywords
Cite
@article{arxiv.2605.05075,
title = {The Logarithmic Asymptotic Phenomenon for Generalized Markov-Hurwitz Equations},
author = {Zhichao Chen and Zelin Jia and Wenchao Wu},
journal= {arXiv preprint arXiv:2605.05075},
year = {2026}
}
Comments
23 pages, 6 figures, comments welcome!