The Orders of Related Elements of a Finite Field |
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| Authors: | Cohen Stephen D. |
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| Affiliation: | (1) Department of Mathematics, University of Glasgow, Glasgow, G12 8QW Scotland |
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| Abstract: | All finite fields  q (q  2, 3, 4, 5, 7, 9, 13, 25, 121) contain a primitive element  for which + 1/ is also primitive. All fields of square order  q2 (q 3, 5) contain an element of order q + 1 for which + 1/ is a primitive element of the subfield  q. These are unconditional versions of general asymptotic results. |
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| Keywords: | finite field order primitive element arithmetical function character sum |
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