Huczynska, S. and Cohen, S.D. (2003) Primitive free cubics with specified norm and trace. Transactions of the American Mathematical Society, 355(8), pp. 3099-3116. (doi: 10.1090/S0002-9947-03-03301-4)
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Abstract
The existence of a primitive free (normal) cubic x3 - ax2 + cx - b over a finite field F with arbitrary specified values of a (≠0) and b (primitive) is guaranteed. This is the most delicate case of a general existence theorem whose proof is thereby completed.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Cohen, Professor Stephen |
| Authors: | Huczynska, S., and Cohen, S.D. |
| Subjects: | Q Science > QA Mathematics |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Transactions of the American Mathematical Society |
| Publisher: | American Mathematical Society |
| ISSN: | 0002-9947 |
| ISSN (Online): | 1088-6850 |
| Published Online: | 25 April 2003 |
| Copyright Holders: | Copyright © 2003 American Mathematical Society |
| First Published: | First published in Transactions of the American Mathematical Society 355(8):3099-3116 |
| Publisher Policy: | Reproduced in accordance with the copyright policy of the publisher |
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