Primitive free cubics with specified norm and trace
Authors:
Sophie Huczynska and Stephen D. Cohen
Journal:
Trans. Amer. Math. Soc. 355 (2003), 3099-3116
MSC (2000):
Primary 11T06; Secondary 11A25, 11T24, 11T30
DOI:
https://doi.org/10.1090/S0002-9947-03-03301-4
Published electronically:
April 25, 2003
MathSciNet review:
1974677
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Abstract | References | Similar Articles | Additional Information
Abstract: The existence of a primitive free (normal) cubic $x^3-ax^2+cx-b$ over a finite field $F$ with arbitrary specified values of $a$ ($\neq 0$) and $b$ (primitive) is guaranteed. This is the most delicate case of a general existence theorem whose proof is thereby completed.
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Additional Information
Sophie Huczynska
Affiliation:
Department of Mathematics, University of Glasgow, Glasgow G12 8QW, Scotland
Address at time of publication:
School of Informatics, University of Edinburgh, Edinburgh EH8 9LE, Scotland
Email:
shuczyns@inf.ed.ac.uk
Stephen D. Cohen
Affiliation:
Department of Mathematics, University of Glasgow, Glasgow G12 8QW, Scotland
MR Author ID:
50360
Email:
sdc@maths.gla.ac.uk
Received by editor(s):
September 26, 2002
Received by editor(s) in revised form:
January 30, 2003
Published electronically:
April 25, 2003
Article copyright:
© Copyright 2003
American Mathematical Society
