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Primitive values of quadratic polynomials in a finite field

Research output: Contribution to journalArticle

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


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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