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Simplest Cubic Number Fields

Published 27 Feb 2012 in math.NT | (1202.6022v1)

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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