An estimate on the number of stable quadratic polynomials

被引：13
|
作者：
Gomez, Domingo [1 ]
Nicolas, Alejandro P. [1 ]
机构：
[1] Univ Cantabria, Dept Matemat Estadist & Computac, E-39005 Santander, Spain
来源：
FINITE FIELDS AND THEIR APPLICATIONS | 2010年 / 16卷 / 06期
关键词：
Irreducible polynomials; Composition of polynomials; Stable quadratic polynomials;
D O I：
10.1016/j.ffa.2010.06.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work we obtain a nontrivial estimate for the size of the set of triples (a, b, c) is an element of F(q)* x F(q) x F(q) which correspond to stable quadratic polynomials f(X) = aX(2) + bX + c over the finite field Fq with q odd. This estimate is an improvement of the bound O(q(11/4)) conjectured in a recent work of A. Ostafe and I. Shparlinski. (C) 2010 Elsevier Inc. All rights reserved.
引用
收藏
页码：401 / 405
页数：5
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