Complete classification of degree-three rational functions over finite fields of odd characteristic under PGL-equivalence via value frequencies, ramification points, and a prior count formula.
Hou,Permutation polynomials over finite fields — a survey of recent advances, Finite Fields Appl.32(2015), 82 – 119
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Classification of Rational Functions of Degree Three over Finite Fields
Complete classification of degree-three rational functions over finite fields of odd characteristic under PGL-equivalence via value frequencies, ramification points, and a prior count formula.