Geodesic
On the ordinarity of the maximal real subfield of cyclotomic function fields
Daisuke Shiomi1
1 Department of Mathematical Sciences Faculty of Science Yamagata University Kojirakawa-machi 1-4-12 Yamagata 990-8560, Japan
Acta Arithmetica, Tome 165 (2014) no. 3, pp. 225-242

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

The aim of this paper is to clarify the ordinarity of cyclotomic function fields. In the previous work [J. Number Theory 133 (2013)], the author determined all monic irreducible polynomials $m$ such that the maximal real subfield of the $m$th cyclotomic function field is ordinary. In this paper, we extend this result to the general case.
DOI : 10.4064/aa165-3-2
Keywords: paper clarify ordinarity cyclotomic function fields previous work number theory author determined monic irreducible polynomials maximal real subfield mth cyclotomic function field ordinary paper extend result general

Daisuke Shiomi 1

1 Department of Mathematical Sciences Faculty of Science Yamagata University Kojirakawa-machi 1-4-12 Yamagata 990-8560, Japan 
@article{10_4064_aa165_3_2,
     author = {Daisuke Shiomi},
     title = {On the ordinarity of the maximal real subfield
 of cyclotomic function fields},
     journal = {Acta Arithmetica},
     pages = {225--242},
     publisher = {mathdoc},
     volume = {165},
     number = {3},
     year = {2014},
     doi = {10.4064/aa165-3-2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/aa165-3-2/}
}
TY  - JOUR
AU  - Daisuke Shiomi
TI  - On the ordinarity of the maximal real subfield
 of cyclotomic function fields
JO  - Acta Arithmetica
PY  - 2014
SP  - 225
EP  - 242
VL  - 165
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/aa165-3-2/
DO  - 10.4064/aa165-3-2
LA  - en
ID  - 10_4064_aa165_3_2
ER  - 
%0 Journal Article
%A Daisuke Shiomi
%T On the ordinarity of the maximal real subfield
 of cyclotomic function fields
%J Acta Arithmetica
%D 2014
%P 225-242
%V 165
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/aa165-3-2/
%R 10.4064/aa165-3-2
%G en
%F 10_4064_aa165_3_2
Daisuke Shiomi. On the ordinarity of the maximal real subfield
 of cyclotomic function fields. Acta Arithmetica, Tome 165 (2014) no. 3, pp. 225-242. doi: 10.4064/aa165-3-2

Cité par Sources :