A note on hyperquadratic continued fractions in characteristic 2 with partial quotients of degree 1
Number Theory
2015-11-30 v1
Abstract
In this note, we describe a family of particular algebraic, and nonquadratic, power series over an arbitrary finite field of characteristic 2, having a continued fraction expansion with all partial quotients of degree one. The main purpose being to point out a common origin with another analogue family in odd characteristic, which has been studied in [LY1].
Keywords
Cite
@article{arxiv.1511.08353,
title = {A note on hyperquadratic continued fractions in characteristic 2 with partial quotients of degree 1},
author = {Alain Lasjaunias},
journal= {arXiv preprint arXiv:1511.08353},
year = {2015}
}
Comments
6 pages