Generalized Markov-Hurwitz equations in n variables are introduced with extra interaction terms, and their positive integer solutions are shown to exhibit logarithmic asymptotics.
Aigner Markov's theorem and 100 years of the uniqueness conjecture: a mathematical journey from irrational numbers to perfect matchings Springer 2013
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The Logarithmic Asymptotic Phenomenon for Generalized Markov-Hurwitz Equations
Generalized Markov-Hurwitz equations in n variables are introduced with extra interaction terms, and their positive integer solutions are shown to exhibit logarithmic asymptotics.