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

页码：401 / 405

页数：5

共 6 条

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[4] JONES R, SETTLED POLYNOMIALS
[5] LIDL R, 1997, FINITE FIELDS APPL
[6] ON THE LENGTH OF CRITICAL ORBITS OF STABLE QUADRATIC POLYNOMIALS
Ostafe, Alina
Shparlinski, Igor E.
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2010, 138 (08) : 2653 - 2656

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