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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Class number 3 problem
for the simplest cubic fields


Author: Dongho Byeon
Journal: Proc. Amer. Math. Soc. 128 (2000), 1319-1323
MSC (2000): Primary 11R16, 11R29
Published electronically: 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 $s=1$ of Dedekind zeta functions attached to cyclic cubic fields, determine all the simplest cubic fields of class number 3.


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Additional Information

Dongho Byeon
Email: dhbyeon@kias.re.kr

DOI: http://dx.doi.org/10.1090/S0002-9939-99-05330-7
PII: S 0002-9939(99)05330-7
Received by editor(s): July 6, 1998
Published electronically: October 27, 1999
Additional Notes: This research was supported by POSTECH/BSRI special fund
Communicated by: David E. Rohrlich
Article copyright: © Copyright 2000 American Mathematical Society