Recent advances in the study of continued fractions have opened new perspectives on the interplay between dynamical systems and entropy. Researchers are exploring how the inherent structure of ...

Let $t_0, t_1, t_2, \cdots$ be a sequence of elements of a field $F$. We give a continued fraction algorithm for $t_0x + t_1x^2 + t_2x^3 + \cdots$. If our sequence ...

Multidimensional continued fractions (MCFs) were introduced by Jacobi and Perron in order to generalize the classical continued fractions. In this paper, we propose an introductive fundamental study ...