Proceedings of the American Mathematical Society

Author(s): Dongho Byeon
Journal: Proc. Amer. Math. Soc. 128 (2000), 1319-1323.
MSC (2000): Primary 11R16, 11R29
Posted: October 27, 1999
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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.

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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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