Cohen, S. D., Oliveira e Silva, T. and Trudgian, T. (2015) A proof of the conjecture of Cohen and Mullen on sums of primitive roots. Mathematics of Computation, 84(296), pp. 2979-2986. (doi: 10.1090/mcom/2950)
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Abstract
We prove that for all q > 61, every non-zero element in the finite field Fq can be written as a linear combination of two primitive roots of Fq. This resolves a conjecture posed by Cohen and Mullen.
| Item Type: | Articles |
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| Additional Information: | This work was supported by Australian Research Council DECRA Grant DE120100173. |
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Cohen, Professor Stephen |
| Authors: | Cohen, S. D., Oliveira e Silva, T., and Trudgian, T. |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Mathematics of Computation |
| Publisher: | American Mathematical Society |
| ISSN: | 0025-5718 |
| ISSN (Online): | 1088-6842 |
| Published Online: | 30 March 2015 |
| Copyright Holders: | Copyright © 2015 American Mathematical Society |
| First Published: | First published in Mathematics of Computation 84(296): 2979-2986 |
| Publisher Policy: | Reproduced in accordance with the publisher copyright policy |
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