DICKSON POLYNOMIALS OF THE 2ND KIND THAT ARE PERMUTATIONS

被引：12
|
作者：
COHEN, SD
机构：
来源：
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 1994年 / 46卷 / 02期
关键词：
D O I：
10.4153/CJM-1994-009-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is known that the Dickson polynomial of the second kind SIGMA(i=0)[n/2] (n-i\i)(-1)(i)x(n-2i) permutes the elements of the finite prime field F(p) (p odd) when n + 1 = +/- 2 to each of the moduli p, 1/2(p - 1) and 1/2(p + 1). Based on numerical evidence it has been conjectured that these congruences are necessary for the polynomial to permute F(p). The conjecture is established here by a new method.
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页码：225 / 238
页数：14
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