Simplest Cubic Number Fields
classification
🧮 math.NT
keywords
fieldscertaincubiccohnconstructionennolaextensionsfamily
read the original 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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