Dickson Polynomials of the Second Kind that are Permutations
Stephen D. Cohen · Canadian Journal of Mathematics · 1994
Abstract It is known that the Dickson polynomial of the second kind permutes the elements of the finite prime field (p odd) when n + 1 = ±2 to each of the moduli and . Based on numerical evidence it has been conjectured that these congruences are necessary for the polynomial to permute . The conjecture is established here by a new method