2 papers
math.NT2026
On very badly approximable numbers
Zhe Cao, Harold Erazo, Carlos Gustavo Moreira
We prove a refined version of Markov's theorem in Diophantine approximation. More precisely, we characterize completely the set of irrationals such that $\left|x-\frac{p}{q}\ri…
math.NT2026
On irrationals with Lagrange value exactly 3
Zhe Cao, Harold Erazo, Carlos Gustavo Moreira
For , let denote the set of such that has only finitely many rational solutions $\frac…