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math.NT2022
Functional graphs of families of quadratic polynomials
Bernard Mans, Min Sha, Igor E. Shparlinski +1
We study functional graphs generated by several quadratic polynomials, acting simultaneously on a finite field of odd characteristic. We obtain several results about the number of…
math.NT2017
On Functional Graphs of Quadratic Polynomials
Bernard Mans, Min Sha, Igor E. Shparlinski +1
We study functional graphs generated by quadratic polynomials over prime fields. We introduce efficient algorithms for methodical computations and provide the values of various dir…