Zobrazeno 1 - 10
of 192
pro vyhledávání: '"Zieve, Michael"'
Autor:
Neftin, Danny, Zieve, Michael E.
The combination of this paper and its companion complete the classification of monodromy groups of indecomposable coverings of complex curves $f:X\rightarrow \mathbb P^1$ of sufficiently large degree in comparison to the genus of $X$. In this paper w
Externí odkaz:
http://arxiv.org/abs/2403.17168
Autor:
Neftin, Danny, Zieve, Michael E.
For each nonnegative integer $g$, we classify the ramification types and monodromy groups of indecomposable coverings of complex curves $f: X\to Y$ where $X$ has genus $g$, under the hypothesis that $n:=\deg(f)$ is sufficiently large and the monodrom
Externí odkaz:
http://arxiv.org/abs/2403.17167
Autor:
Ding, Zhiguo, Zieve, Michael E.
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 analogous problem when one or both of x and x+1 is a nonsquare. We use t
Externí odkaz:
http://arxiv.org/abs/2309.14979
Autor:
Ding, Zhiguo, Zieve, Michael E.
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) : c in F_q} U {(1:0:0),(0:1:0)} for some f(X) in F_q[X]. Let T be a su
Externí odkaz:
http://arxiv.org/abs/2309.10866
Autor:
Ding, Zhiguo, Zieve, Michael E.
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 of rational functions generalizing the classical Redei functions. Our r
Externí odkaz:
http://arxiv.org/abs/2305.06322
Autor:
Ding, Zhiguo, Zieve, Michael E.
We determine the roots in F_{q^3} of the polynomial X^{2q^k+1} + X + c for each positive integer k and each c in F_q, where q is a power of 2. We introduce a new approach for this type of question, and we obtain results which are more explicit than t
Externí odkaz:
http://arxiv.org/abs/2302.13478
Autor:
Zieve, Michael E.
We show that all of the "new" permutation polynomials in the recent paper arXiv:2207.13335 (H. Song et al.) are in fact known. We also present a new type of question in this area.
Comment: 3 pages
Comment: 3 pages
Externí odkaz:
http://arxiv.org/abs/2208.01601
Autor:
Ding, Zhiguo, Zieve, Michael E.
We determine all permutation polynomials over F_{q^2} of the form X^r A(X^{q-1}) where, for some Q which is a power of the characteristic of F_q, the integer r is congruent to Q+1 (mod q+1) and all terms of A(X) have degrees in {0, 1, Q, Q+1}. We the
Externí odkaz:
http://arxiv.org/abs/2203.04216
Autor:
Zieve, Michael
We give historical remarks related to arXiv:2112.14547 ("A New Method of Construction of Permutation Trinomials with Coefficients 1", by Guo et al.). In particular, we show that the "new" permutation polynomials in that paper are actually well known.
Externí odkaz:
http://arxiv.org/abs/2201.01106
Autor:
Ding, Zhiguo, Zieve, Michael E.
Publikováno v:
In Finite Fields and Their Applications March 2024 95
