9 citations · 9 across the 2 of their papers we have counts for
2 papers
math.NT2025
Determination of all complete mappings of F_{q^2} of the form aX^{3q}+bX^{2q+1}+cX^{q+2}+dX^3
Zhiguo Ding, Wei Xiong, Michael E. Zieve
For each prime power q, we determine all polynomials over F_{q^2} of the form f(X) := aX^{3q}+bX^{2q+1}+cX^{q+2}+dX^3 which induce complete mappings of F_{q^2}, in the sense that e…
math.NT2001★ 9 cited
Polynomial Mappings mod p^n
David L. desJardins, Michael E. Zieve
Let f(x) be a polynomial with integer coefficients, let n be a positive integer, and let p be an odd prime. Then the mapping x-->f(x) sends Z/p^n into Z/p^n. We study the topologic…