English

On hyperquadratic continued fractions in power series fields over a finite field

Number Theory 2014-02-21 v1

Abstract

The first part of this note is a short introduction on continued fraction expansions for certain algebraic power series. In the last part, as an illustration, we present a family of algebraic continued fractions of degree 4, including a toy example considered about thirty years ago in a pioneer work in this area.

Keywords

Cite

@article{arxiv.1402.4928,
  title  = {On hyperquadratic continued fractions in power series fields over a finite field},
  author = {Alain Lasjaunias},
  journal= {arXiv preprint arXiv:1402.4928},
  year   = {2014}
}