Algebraic continued fractions in F<sub>q</sub>((T<sup>-1</sup>)) and recurrent sequences in F<sub>q</sub>
Algebraic continued fractions in F<sub>q</sub>((T<sup>-1</sup>)) and recurrent sequences in F<sub>q</sub>
There exists a particular subset of algebraic power series over a finite field which, for different reasons, can be compared to the subset of quadratic real numbers.The continued fraction expansion for these elements, called hyperquadratic, can sometimes be fully explicited.In this work, which is a continuation of [L1] and [L2], …