On the law of the iterated logarithm for continued fractions with sequentially restricted partial quotients

Manuel Stadlbauer, Xuan Zhang

We establish a law of the iterated logarithm (LIL) for the set of real numbers whose $n$-th partial quotient is bigger than ${\alpha }_n$, where $({\alpha }_n)$ is a sequence such that $\sum 1/α_n…