Geodesic
Families of periodic Jacobi--Perron algorithms in any dimension with period lengths going to infinity
Brigitte Adam1
1 2, Clos du Pré 57530 Courcelles-Chaussy, France
Acta Arithmetica, Tome 177 (2017) no. 3, pp. 293-299

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

One of the generalizations of the continued fraction algorithm to higher dimensions is the Jacobi–Perron Algorithm (JPA). C. Levesque and G. Rhin obtained the JPA expansion of two parametrized infinite families of degree 3, each depending on two parameters. These expansions are purely periodic. We generalize these families to parametrized families (depending on three parameters) of fields with any degree higher than 3.
DOI : 10.4064/aa8471-8-2016
Keywords: generalizations continued fraction algorithm higher dimensions jacobi perron algorithm jpa nbsp levesque nbsp rhin obtained jpa expansion parametrized infinite families degree nbsp each depending parameters these expansions purely periodic generalize these families parametrized families depending three parameters fields degree higher nbsp

Brigitte Adam 1

1 2, Clos du Pré 57530 Courcelles-Chaussy, France 
@article{10_4064_aa8471_8_2016,
     author = {Brigitte Adam},
     title = {Families of periodic {Jacobi--Perron} algorithms in any dimension with period lengths going to infinity},
     journal = {Acta Arithmetica},
     pages = {293--299},
     publisher = {mathdoc},
     volume = {177},
     number = {3},
     year = {2017},
     doi = {10.4064/aa8471-8-2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/aa8471-8-2016/}
}
TY  - JOUR
AU  - Brigitte Adam
TI  - Families of periodic Jacobi--Perron algorithms in any dimension with period lengths going to infinity
JO  - Acta Arithmetica
PY  - 2017
SP  - 293
EP  - 299
VL  - 177
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/aa8471-8-2016/
DO  - 10.4064/aa8471-8-2016
LA  - en
ID  - 10_4064_aa8471_8_2016
ER  - 
%0 Journal Article
%A Brigitte Adam
%T Families of periodic Jacobi--Perron algorithms in any dimension with period lengths going to infinity
%J Acta Arithmetica
%D 2017
%P 293-299
%V 177
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/aa8471-8-2016/
%R 10.4064/aa8471-8-2016
%G en
%F 10_4064_aa8471_8_2016
Brigitte Adam. Families of periodic Jacobi--Perron algorithms in any dimension with period lengths going to infinity. Acta Arithmetica, Tome 177 (2017) no. 3, pp. 293-299. doi: 10.4064/aa8471-8-2016

Cité par Sources :