Cantor series expansions of rational numbers (Q6585130)

Let \(\{a_n\}_{n=1}^\infty\) and \(\{b_n\}_{n=1}^\infty\) be two sequences of integers such that \(a_n\in\mathbb Z^+\) and \(b_n\in\{ 0,\dots ,a_n-1\}\) for all \(n\in\mathbb Z^+\). The author gives a nice survey of the results when the Cantor series \(\sum_{n=1}^\infty \frac {b_n}{\prod_{j=1}^n a_j}\) is a rational number.