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Polynomials that represent quadratic residues at primitive roots

Polynomials that represent quadratic residues at primitive roots

In this paper the following result is obtained.THEOREM.Let r be any positive integer; in all but finitely many finite fields k, of odd characteristic, for every polynomial f(x) e k[x] of degree r that is not of the form a(Q(x))2 or ax(9(x)) 2 , there exists a primitive root β …