Linear independence of continued fractions with algebraic terms

Jaroslav Hančl, Mathias L. Laursen, Jitu Berhanu Leta

We give conditions on sequences of positive algebraic numbers $\{a_{n,j}{\}}_{n=1}^{\infty }$, $j=1,\dots ,M$ and number field $\mathbb{K}$ to ensure that the numbers defined by the cont…