The imaginary cyclic sextic fields with class numbers equal to their genus class numbers
Colloquium Mathematicum, Tome 75 (1998) no. 2, pp. 205-212
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.
Keywords:
relative class number, class number, genus field, sextic number field
@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},
year = {1998},
volume = {75},
number = {2},
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 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 %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
Cité par Sources :