Class number 3 problem for the simplest cubic fields

Byeon, Dongho

doi:10.1090/S0002-9939-99-05330-7

Class number 3 problem for the simplest cubic fields
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by Dongho Byeon

Proc. Amer. Math. Soc. 128 (2000), 1319-1323

DOI: https://doi.org/10.1090/S0002-9939-99-05330-7

Published electronically: 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 $s=1$ of Dedekind zeta functions attached to cyclic cubic fields, determine all the simplest cubic fields of class number 3.

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