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Primitive free cubics with specified norm and trace

By S. Huczynska and S.D. Cohen

Abstract

The existence of a primitive free (normal) cubic x<sup>3</sup> - ax<sup>2</sup> + cx - b over a finite field F with arbitrary specified values of a (&#8800;0) and b (primitive) is guaranteed. This is the most delicate case of a general existence theorem whose proof is thereby completed

Topics: QA
Publisher: American Mathematical Society
Year: 2003
OAI identifier: oai:eprints.gla.ac.uk:12871
Provided by: Enlighten

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