Hyperquadratic Power Series in $\mathbb{F}_3((t^{-1}))$ with partial quotients of degree 1
Idioma
en
Article de revue
Este ítem está publicado en
Ramanujan Journal. 2014, vol. 33, p. 219-226
Springer Verlag
Resumen en inglés
We are concerned with power series in 1/T over a finite field of 3 elements $\F_3$. In a previous article, Alain Lasjaunias investigated the existence of particular power series of elements algebraic over $\F_3[T]$, having ...Leer más >
We are concerned with power series in 1/T over a finite field of 3 elements $\F_3$. In a previous article, Alain Lasjaunias investigated the existence of particular power series of elements algebraic over $\F_3[T]$, having all partial quotients of degree 1 in their continued fraction expansion. Here, we generalize his result and we make a conjecture about the elements with all partial quotients of degree 1, except maybe the first ones.< Leer menos
Palabras clave en inglés
power series
finite fields
continued fractions
Orígen
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