Abstract
In this paper, we give the value of the approximation exponent of the hyperquadratic power series satisfying the equation $$Cx^{r}-Ax^{r-1}-1=0$$ where $r> 2$ is a power of a prime number $p$, $A$ and $C$ are nonzero polynomials over a finite field $\mathbf{K}$ of characteristic $p$ and $\deg A> \deg C$. Further, we exhibit explicitly its continued fraction expansion when $C$ divides $A$.
Citation
Khalil Ayadi. "On the approximation exponent of some hyperquadratic power series." Bull. Belg. Math. Soc. Simon Stevin 22 (3) 511 - 520, august 2015. https://doi.org/10.36045/bbms/1442364594
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