The imaginary cyclic sextic fields with class numbers equal to their genus class numbers
Colloquium Mathematicum, Tome 75 (1998) no. 2, pp. 205-212.

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

It is known that there are only finitely many imaginary abelian number fields with class numbers equal to their genus class numbers. Here, we determine all the imaginary cyclic sextic fields with class numbers equal to their genus class numbers.
DOI : 10.4064/cm-75-2-205-212
Keywords: relative class number, class number, genus field, sextic number field

Stéphane Louboutin 1

1
@article{10_4064_cm_75_2_205_212,
     author = {St\'ephane Louboutin},
     title = {The imaginary cyclic sextic fields with class numbers equal to their genus class numbers},
     journal = {Colloquium Mathematicum},
     pages = {205--212},
     publisher = {mathdoc},
     volume = {75},
     number = {2},
     year = {1998},
     doi = {10.4064/cm-75-2-205-212},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/cm-75-2-205-212/}
}
TY  - JOUR
AU  - Stéphane Louboutin
TI  - The imaginary cyclic sextic fields with class numbers equal to their genus class numbers
JO  - Colloquium Mathematicum
PY  - 1998
SP  - 205
EP  - 212
VL  - 75
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm-75-2-205-212/
DO  - 10.4064/cm-75-2-205-212
LA  - en
ID  - 10_4064_cm_75_2_205_212
ER  - 
%0 Journal Article
%A Stéphane Louboutin
%T The imaginary cyclic sextic fields with class numbers equal to their genus class numbers
%J Colloquium Mathematicum
%D 1998
%P 205-212
%V 75
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/cm-75-2-205-212/
%R 10.4064/cm-75-2-205-212
%G en
%F 10_4064_cm_75_2_205_212
Stéphane Louboutin. The imaginary cyclic sextic fields with class numbers equal to their genus class numbers. Colloquium Mathematicum, Tome 75 (1998) no. 2, pp. 205-212. doi : 10.4064/cm-75-2-205-212. http://geodesic.mathdoc.fr/articles/10.4064/cm-75-2-205-212/

Cité par Sources :