Geodesic
On the cyclotomic elements in $K_{2}$ of a rational function field
Kejian Xu1 ; Chaochao Sun2 ; Shanjie Chi3
1 School of Mathematics Jilin University Changchun 130012, P.R. China and College of Mathematics Qingdao University Qingdao 266071, P.R. China
2 School of Mathematics Jilin University Changchun 130012, P.R. China
3 College of Mathematics Qingdao University Qingdao 266071, P.R. China
Acta Arithmetica, Tome 164 (2014) no. 3, pp. 209-219.

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

If $l$ is a prime number, the cyclotomic elements in the $l$-torsion of $K_2(k(x)),$ where $k(x)$ is the rational function field over $k,$ are investigated. As a consequence, a conjecture of Browkin is partially confirmed.
DOI : 10.4064/aa164-3-1
Keywords: prime number cyclotomic elements l torsion where rational function field investigated consequence conjecture browkin partially confirmed

Kejian Xu 1 ; Chaochao Sun 2 ; Shanjie Chi 3

1 School of Mathematics Jilin University Changchun 130012, P.R. China and College of Mathematics Qingdao University Qingdao 266071, P.R. China
2 School of Mathematics Jilin University Changchun 130012, P.R. China
3 College of Mathematics Qingdao University Qingdao 266071, P.R. China 
@article{10_4064_aa164_3_1,
     author = {Kejian Xu and Chaochao Sun and Shanjie Chi},
     title = {On the cyclotomic elements in $K_{2}$ of a rational function field},
     journal = {Acta Arithmetica},
     pages = {209--219},
     publisher = {mathdoc},
     volume = {164},
     number = {3},
     year = {2014},
     doi = {10.4064/aa164-3-1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/aa164-3-1/}
}
TY  - JOUR
AU  - Kejian Xu
AU  - Chaochao Sun
AU  - Shanjie Chi
TI  - On the cyclotomic elements in $K_{2}$ of a rational function field
JO  - Acta Arithmetica
PY  - 2014
SP  - 209
EP  - 219
VL  - 164
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/aa164-3-1/
DO  - 10.4064/aa164-3-1
LA  - en
ID  - 10_4064_aa164_3_1
ER  - 
%0 Journal Article
%A Kejian Xu
%A Chaochao Sun
%A Shanjie Chi
%T On the cyclotomic elements in $K_{2}$ of a rational function field
%J Acta Arithmetica
%D 2014
%P 209-219
%V 164
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/aa164-3-1/
%R 10.4064/aa164-3-1
%G en
%F 10_4064_aa164_3_1
Kejian Xu; Chaochao Sun; Shanjie Chi. On the cyclotomic elements in $K_{2}$ of a rational function field. Acta Arithmetica, Tome 164 (2014) no. 3, pp. 209-219. doi : 10.4064/aa164-3-1. http://geodesic.mathdoc.fr/articles/10.4064/aa164-3-1/

Cité par Sources :