Class number 3 problem for the simplest cubic fields
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- by Dongho Byeon PDF
- Proc. Amer. Math. Soc. 128 (2000), 1319-1323 Request permission
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.References
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Additional Information
- Dongho Byeon
- Email: dhbyeon@kias.re.kr
- 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
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 1319-1323
- MSC (2000): Primary 11R16, 11R29
- DOI: https://doi.org/10.1090/S0002-9939-99-05330-7
- MathSciNet review: 1664337