Simplest Cubic Number Fields

Details Simplest Cubic Number Fields Simplest Cubic Number Fields

2012-02-27

arxiv.org/abs/1202.6022v1

Manuscr. Math. 88, No.1, 53-58 (1995)

Mathematics

Number Theory

Scientific paper

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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