Quartic Power Series in $\f_3((t^{-1}))$

Alain Lasjaunias; Domingo gomez

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arXiv · 1106.3193

Quartic Power Series in $\f_3((t^{-1}))$

Alain Lasjaunias·Domingo gomez

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Abstract

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.

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Alain Lasjaunias, Domingo gomez. 2011-06-16. Quartic Power Series in $\f_3((t^{-1}))$. https://arxiv.org/abs/1106.3193

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