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 $L_{\frac{1}{2}+i\mathbb{R}}$ arising from th…