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Primitive values of quadratic polynomials in a finite field

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Original languageEnglish
Number of pages10
JournalMathematics of Computation
Early online date30 Oct 2018
DOIs
DateAccepted/In press - 22 Jun 2018
DateE-pub ahead of print (current) - 30 Oct 2018

Abstract

We prove that for all q > 211, there always exists a primitive root g in the finite field Fq such that Q(g) is also a primitive root, where Q(x) = ax2 + bx + c is a quadratic polynomial with a; b; cFq such that b2 — 4ac ≠ 0.

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  • Full-text PDF (accepted author manuscript)

    Rights statement: This is the author accepted manuscript (AAM). The final published version (version of record) is available online via AMS at http://www.ams.org/journals/mcom/0000-000-00/S0025-5718-2018-03390-7/home.html . Please refer to any applicable terms of use of the publisher.

    Accepted author manuscript, 265 KB, PDF document

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