Thiago Vasconcelos

collaborators

2 papers

math.NT2026

Lagrange spectrum for Diophantine approximations of complex numbers with real part equal to one half

Hao Cheng, Harold Erazo, Carlos Gustavo Moreira +1

Motivated by a theorem of A. Schmidt on the part of the complex Lagrange spectrum below $2$ , we study the restricted Lagrange spectrum $L_{\frac{1}{2} + i R}$ arising from th…

math.NT2026

On the geometry of the second Lagrange spectra

Hao Cheng, Harold Erazo, Carlos Gustavo Moreira +1

The Lagrange spectrum $L$ is the set of finite values of the best approximation constants $k (α) = lim sup_{∣ p ∣, ∣ q ∣ \to \infty} ∣ q (q α - p) ∣^{- 1}$ , where $α\in \mathbb{R}\setminus \mathbb{…