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Publication - Dr Andrew Booker

    Primitive values of quadratic polynomials in a finite field

    Citation

    Booker, A, Cohen, S, Sutherland, N & Trudgian, T, 2018, ‘Primitive values of quadratic polynomials in a finite field’. Mathematics of Computation.

    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.

    Full details in the University publications repository