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Class number 3 problem for the simplest cubic fields
Author(s):
Dongho
Byeon
Journal:
Proc. Amer. Math. Soc.
128
(2000),
1319-1323.
MSC (2000):
Primary 11R16, 11R29
Posted:
October 27, 1999
MathSciNet review:
1664337
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Abstract:
We give some necessary conditions for class numbers of the simplest cubic fields to be 3 and, using Lettl's lower bounds of residues at  of Dedekind zeta functions attached to cyclic cubic fields, determine all the simplest cubic fields of class number 3.
References:
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Additional Information:
Dongho
Byeon
Affiliation:
School of Mathematics, Korea Institute for Advanced Study, 207-43 Cheongryangridong, Dongdaemoon-ku, Seoul 130-012, Korea
Email:
dhbyeon@kias.re.kr
DOI:
10.1090/S0002-9939-99-05330-7
PII:
S 0002-9939(99)05330-7
Received by editor(s):
July 6, 1998
Posted:
October 27, 1999
Additional Notes:
This research was supported by POSTECH/BSRI special fund
Communicated by:
David E. Rohrlich
Copyright of article:
Copyright
2000,
American Mathematical Society
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