Factoring Dickson polynomials over finite fields

被引:31
作者
Bhargava, M [1 ]
Zieve, ME
机构
[1] Princeton Univ, Dept Math, Princeton, NJ 08544 USA
[2] Univ So Calif, Dept Math, Los Angeles, CA 90089 USA
基金
美国国家科学基金会;
关键词
D O I
10.1006/ffta.1998.0221
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We derive the factorizations of the Dickson polynomials D-n(X, a) and E-n(X, a), and of the bivariate Dickson polynomials D-n(X, a) - D-n(Y, a), over any finite field. Our proofs are significantly shorter and more elementary than those previously known. (C) 1999 Academic Press.
引用
收藏
页码:103 / 111
页数:9
相关论文
共 7 条
[1]  
ABHYANKAR SS, IN PRESS T AM MATH S
[2]  
Chou W.-S., 1997, FINITE FIELDS APPL, V3, P84
[3]  
COHEN SD, 1996, LONDON MATH SOC LECT, V233, P59
[4]  
Lidl R., 1993, PITMAN MONOGRAPHS SU
[5]   ON SCHURS CONJECTURE [J].
TURNWALD, G .
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 1995, 58 :312-357
[6]  
TURNWALD G, 1996, MONODROMY GROUPS DIC
[7]   DICKSONS PERMUTATION POLYNOMIALS [J].
WILLIAMS, KS .
DUKE MATHEMATICAL JOURNAL, 1971, 38 (04) :659-&