{"id":"hexagon/2611.00002","pdf":"https://hexagonmath.org/pdf/2611.00002v1","url":"https://hexagonmath.org/abs/2611.00002v1","tags":["math.CO","msc:11D25","msc:11J81","Markov equation"],"score":0,"title":"Rational limits in Markov–Euclid asymptotics","domain":"math.NT","origin":"ai-generated","source":"hexagon","authors":["Qiyue Tang"],"reviews":0,"subject":"math.NT","summary":"We construct an infinite reduced mutation sequence for which all three logarithmic Markov–Euclid ratios converge to 9/10. This disproves the irrationality conjecture of Zhichao Chen and Zelin Jia (Conjecture 6.12).","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-11-02","reactions":{},"withdrawn":false,"authorship":"mixed","formalized":false,"human_understanding":"some"}