Simplest Cubic Number Fields

Franz Lemmermeyer; Attila Pethö

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arXiv · 1202.6022

Simplest Cubic Number Fields

Franz Lemmermeyer·Attila Pethö

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Abstract

In this paper we intend to show that certain integers do not occur as the norms of principal ideals in a family of cubic fields studied by Cohn, Shanks, and Ennola. These results will simplify the construction of certain unramified quadratic extensions of such fields.

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Franz Lemmermeyer, Attila Pethö. 2012-02-27. Simplest Cubic Number Fields. https://arxiv.org/abs/1202.6022

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