3 papers
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.CO2019
On the equational graphs over finite fields
Bernard Mans, Min Sha, Jeffrey Smith +1
In this paper, we generalize the notion of functional graph. Specifically, given an equation with variables and over a finite field of odd chara…
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…