The imaginary cyclic sextic fields with class numbers equal to their genus class numbers
Colloquium Mathematicae (1998)
- Volume: 75, Issue: 2, page 205-212
- ISSN: 0010-1354
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topLouboutin, Stéphane. "The imaginary cyclic sextic fields with class numbers equal to their genus class numbers." Colloquium Mathematicae 75.2 (1998): 205-212. <http://eudml.org/doc/210539>.
@article{Louboutin1998,
abstract = {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.},
author = {Louboutin, Stéphane},
journal = {Colloquium Mathematicae},
keywords = {relative class number; class number; genus field; sextic number field; genus class numbers; relative class numbers; imaginary cyclic sextic fields},
language = {eng},
number = {2},
pages = {205-212},
title = {The imaginary cyclic sextic fields with class numbers equal to their genus class numbers},
url = {http://eudml.org/doc/210539},
volume = {75},
year = {1998},
}
TY - JOUR
AU - Louboutin, Stéphane
TI - The imaginary cyclic sextic fields with class numbers equal to their genus class numbers
JO - Colloquium Mathematicae
PY - 1998
VL - 75
IS - 2
SP - 205
EP - 212
AB - 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.
LA - eng
KW - relative class number; class number; genus field; sextic number field; genus class numbers; relative class numbers; imaginary cyclic sextic fields
UR - http://eudml.org/doc/210539
ER -
References
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- [PK] Y.-H. Park and S.-H. Kwon, Determination of all imaginary abelian sextic number fields with class number , Acta Arith., to appear.
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- [Yam] K. Yamamura, The determination of the imaginary abelian number fields with class-number one, Math. Comp. 62 (1994), 899-921. Zbl0798.11046
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