Quartic Power Series in $\f_3((t^{-1}))$
Number Theory
2011-06-17 v1
Abstract
We are concerned with power series in 1/T over a finite field of 3 elements . In a previous article, Alain Lasjaunias investigated the existence of particular power series of elements algebraic over , 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.
Keywords
Cite
@article{arxiv.1106.3193,
title = {Quartic Power Series in $\f_3((t^{-1}))$},
author = {Alain Lasjaunias and Domingo gomez},
journal= {arXiv preprint arXiv:1106.3193},
year = {2011}
}