A remark on the extreme value theory for continued fractions

Lulu Fang, Kunkun Song

Let $x$ be a irrational number in the unit interval and denote by its continued fraction expansion $[a_1(x),a_2(x),\cdots ,a_n(x),\cdots ]$. For any $n\ge 1$, write $T_n(x) = \…