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 $k(\hat{I}\pm )={\mathrm{limsup}}_{|p|,|q|\to \infty }|q(q\hat{I}\pm -p){|}^{-1}$, where $α\in \mathbb{R}\setminus \math…