Geodesic
A note on hyperquadratic continued fractions in characteristic 2 with partial quotients of degree 1
Alain Lasjaunias1
1 Institut de Mathématiques de Bordeaux CNRS-UMR 5251 Talence 33405, France
Acta Arithmetica, Tome 178 (2017) no. 3, pp. 249-256.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We describe a family of algebraic 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 is to point out a common origin with another analogous family in odd characteristic, previously studied by the author.
DOI : 10.4064/aa8368-12-2016
Keywords: describe family algebraic nonquadratic power series arbitrary finite field characteristic having continued fraction expansion partial quotients degree main purpose point out common origin another analogous family odd characteristic previously studied author

Alain Lasjaunias 1

1 Institut de Mathématiques de Bordeaux CNRS-UMR 5251 Talence 33405, France 
@article{10_4064_aa8368_12_2016,
     author = {Alain Lasjaunias},
     title = {A note on hyperquadratic continued fractions in characteristic 2 with partial quotients of degree 1},
     journal = {Acta Arithmetica},
     pages = {249--256},
     publisher = {mathdoc},
     volume = {178},
     number = {3},
     year = {2017},
     doi = {10.4064/aa8368-12-2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/aa8368-12-2016/}
}
TY  - JOUR
AU  - Alain Lasjaunias
TI  - A note on hyperquadratic continued fractions in characteristic 2 with partial quotients of degree 1
JO  - Acta Arithmetica
PY  - 2017
SP  - 249
EP  - 256
VL  - 178
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/aa8368-12-2016/
DO  - 10.4064/aa8368-12-2016
LA  - en
ID  - 10_4064_aa8368_12_2016
ER  - 
%0 Journal Article
%A Alain Lasjaunias
%T A note on hyperquadratic continued fractions in characteristic 2 with partial quotients of degree 1
%J Acta Arithmetica
%D 2017
%P 249-256
%V 178
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/aa8368-12-2016/
%R 10.4064/aa8368-12-2016
%G en
%F 10_4064_aa8368_12_2016
Alain Lasjaunias. A note on hyperquadratic continued fractions in characteristic 2 with partial quotients of degree 1. Acta Arithmetica, Tome 178 (2017) no. 3, pp. 249-256. doi : 10.4064/aa8368-12-2016. http://geodesic.mathdoc.fr/articles/10.4064/aa8368-12-2016/

Cité par Sources :