Primitive free cubics with specified norm and trace

Sophie Huczynska; SD Cohen

doi:10.1090/S0002-9947-03-03301-4

Primitive free cubics with specified norm and trace

Research output: Contribution to journal › Article › peer-review

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 (not equal 0) and b (primitive) is guaranteed. This is the most delicate case of a general existence theorem whose proof is thereby completed.

Original language	English
Pages (from-to)	3099-3116
Number of pages	18
Journal	Transactions of the American Mathematical Society
Volume	355
Issue number	8
DOIs	https://doi.org/10.1090/S0002-9947-03-03301-4
Publication status	Published - Aug 2003

Keywords

Normal bases
Fields
Sums

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10.1090/S0002-9947-03-03301-4

Open Access version in Research@StAndrews:FullText
(c)2003 American Mathematical Society. First published in Transactions of the American Mathematical Society 355 (2003), available at http://www.ams.org
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Cite this

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AB - 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 (not equal 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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KW - Fields

KW - Sums

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DO - 10.1090/S0002-9947-03-03301-4

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JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

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Primitive free cubics with specified norm and trace

Abstract

Keywords

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