19 citations · 25 across the 17 of their papers we have counts for
5 papers · 1 filter
Connecting two types of representations of a permutation of $\F_q$
Zhiguo Ding
In this paper, we connect two types of representations of a permutation of the finite field $\F_q$. One type is algebraic, in which the permutation is represented as the compos…
Tangent-Chebyshev rational maps and Redei functions
Zhiguo Ding, Michael E. Zieve
Recently Lima and Campello de Souza introduced a new class of rational functions over odd-order finite fields, and explained their potential usefulness in cryptography. We show tha…
A new family of exceptional rational functions
Zhiguo Ding, Michael E. Zieve
For each odd prime power q, we construct an infinite sequence of rational functions f(X) in F_q(X), each of which is exceptional, which means that for infinitely many n the map c--…
The relative Riemann-Hurwitz formula
Zhiguo Ding, Michael E. Zieve
For any nonconstant f,g in C(x) such that the numerator H(x,y) of f(x)-g(y) is irreducible, we compute the genus of the normalization of the curve H(x,y)=0. We also prove an analog…
Shared values of meromorphic functions on a compact Riemann surface
Zhiguo Ding, Michael E. Zieve
We prove a new bound on the number of shared values of distinct meromorphic functions on a compact Riemann surface, explain a mistake in a previous paper on this topic, and give a…