Permutation of values of irrationality measure functions

Victoria Rudykh

For an irrational number $\alpha \in \mathbb{R}$ we consider its irrationality measure function $${\psi }_{\alpha }(t)=\underset{1\le q\le t,q\in \mathbb{Z}}{\min }\Vert q\alpha \Vert .$$ Let $\boldsymbolα = (α_1, \dot…