51 citations · 372 across the 56 of their papers we have counts for
58 papers
Some classes of permutation pentanomials
Zhiguo Ding, Michael E. Zieve
For each prime p other than 3, and each power q=p^k, we present two large classes of permutation polynomials over F_{q^2} of the form X^r B(X^{q-1}) which have at most five terms,…
Monodromy groups of product type
Danny Neftin, Michael E. Zieve
The combination of this paper and its companion complete the classification of monodromy groups of indecomposable coverings of complex curves of suffic…
Monodromy groups of indecomposable coverings of bounded genus
Danny Neftin, Michael E. Zieve
For each nonnegative integer , we classify the ramification types and monodromy groups of indecomposable coverings of complex curves where has genus , under t…
On sums of powers of consecutive squares over finite fields, and sums of distinct values of polynomials
Zhiguo Ding, Michael E. Zieve
For each odd prime power q, and each integer k, we determine the sum of the k-th powers of all elements x in F_q for which both x and x+1 are squares in F_q^*. We also solve the an…
Determination of hyperovals by lines through a few points
Zhiguo Ding, Michael E. Zieve
If S is a set of q+2 points in P^2(F_q) such that some point of S is not on any line containing two other points of S, then in suitable coordinates S has the form S_f:={(c:f(c):1)…
Constructing permutation polynomials using generalized Redei functions
Zhiguo Ding, Michael E. Zieve
We determine all permutations in two large classes of polynomials over finite fields, where the construction of the polynomials in each class involves the denominators of a class o…