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most citedBlock Companion Singer Cycles, Primitive Recursive Vector Sequences, and Coprime Polynomial Pairs over Finite Fields

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math.NT2014

A New Proof of Fitzgerald's Characterization of Primitive Polynomials

Samrith Ram

We give a new proof of Fitzgerald's criterion for primitive polynomials over a finite field. Existing proofs essentially use the theory of linear recurrences over finite fields. He…