ON THE LENGTH OF CRITICAL ORBITS OF STABLE QUADRATIC POLYNOMIALS

被引：17

作者：

Ostafe, Alina ^{[1
]}

Shparlinski, Igor E. ^{[2
]}

机构：

[1] Univ Zurich, Inst Math, CH-8057 Zurich, Switzerland

[2] Macquarie Univ, Dept Comp, Sydney, NSW 2109, Australia

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2010年 / 138卷 / 08期

基金：

澳大利亚研究理事会; 瑞士国家科学基金会;

关键词：

D O I：

10.1090/S0002-9939-10-10404-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We use the Weil bound of multiplicative character sums, together with some recent results of N. Boston and R. Jones, to show that the critical orbit of quadratic polynomials over a finite field of q elements is of length O(q(3/4)), improving upon the trivial bound q.

引用

页码：2653 / 2656

页数：4

共 9 条

[1] Stability of polynomials [J].