Determination of all non-normal quartic CM-fields and of all non-abelian normal octic CM-fields with class number one
Stéphane Louboutin; Ryotaro Okazaki
Acta Arithmetica (1994)
- Volume: 67, Issue: 1, page 47-62
- ISSN: 0065-1036
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topStéphane Louboutin, and Ryotaro Okazaki. "Determination of all non-normal quartic CM-fields and of all non-abelian normal octic CM-fields with class number one." Acta Arithmetica 67.1 (1994): 47-62. <http://eudml.org/doc/206617>.
@article{StéphaneLouboutin1994,
author = {Stéphane Louboutin, Ryotaro Okazaki},
journal = {Acta Arithmetica},
keywords = {non-normal quartic CM-fields; relative class number one; class number one; non-abelian normal octic CM-fields},
language = {eng},
number = {1},
pages = {47-62},
title = {Determination of all non-normal quartic CM-fields and of all non-abelian normal octic CM-fields with class number one},
url = {http://eudml.org/doc/206617},
volume = {67},
year = {1994},
}
TY - JOUR
AU - Stéphane Louboutin
AU - Ryotaro Okazaki
TI - Determination of all non-normal quartic CM-fields and of all non-abelian normal octic CM-fields with class number one
JO - Acta Arithmetica
PY - 1994
VL - 67
IS - 1
SP - 47
EP - 62
LA - eng
KW - non-normal quartic CM-fields; relative class number one; class number one; non-abelian normal octic CM-fields
UR - http://eudml.org/doc/206617
ER -
References
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- [Lou 4] S. Louboutin, Determination of all quaternion octic CM-fields with class number 2, preprint, 1993.
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- [Ok] R. Okazaki, On evaluation of L-functions over real quadratic fields, J. Math. Kyoto Univ. 31 (1991), 1125-1153. Zbl0776.11071
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- [Y] K. Yamamura, The determination of the imaginary abelian number fields with class number one, Math. Comp., to appear. Zbl0749.11048
Citations in EuDML Documents
top- Stéphane Louboutin, The class number one problem for the non-abelian normal CM-fields of degree 16
- Gérard Boutteaux, Stéphane Louboutin, The class number one problem for the non-normal sextic CM-fields. Part 2
- Ken Yamamura, Maximal unramified extensions of imaginary quadratic number fields of small conductors, II
- Stéphane Louboutin, The class number one problem for the dihedral and dicyclic CM-fields
- Franz Lemmermeyer, Unramified quaternion extensions of quadratic number fields
- F. Lemmermeyer, S. Louboutin, R. Okazaki, The class number one problem for some non-abelian normal CM-fields of degree
- Young-Ho Park, Soun-Hi Kwon, Determination of all imaginary abelian sextic number fields with class number ≤ 11
- Stéphane Louboutin, Corps quadratiques à corps de classes de Hilbert principaux et à multiplication complexe
- Yann Lefeuvre, Corps diédraux à multiplication complexe principaux
- Ken Yamamura, Determination of the imaginary normal octic number fields with class number one which are not CM-fields
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