Distribution of Primitive λ-Roots of Composite Moduli II  

作　　者：Zhiyong ZHENG Todd COCHRANE 

机构地区：[1]Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China [2]Department of Mathematics, Kansas State University, Manhattan, Kansas 66506, USA.

出　　处：《Chinese Annals of Mathematics,Series B》2006年第5期549-552,共4页数学年刊（B辑英文版）

基　　金：Project supported by the National Natural Science Foundation of China (No.19625102);the 973 Project of the Ministry of Science and Technology of China.

摘　　要：We improve estimates for the distribution of primitive λ-roots of a composite modulus q yielding an asymptotic formula for the number of primitive A-roots in any interval I of length ｜I｜ 〉〉 q^1/2＋ε Similar results are obtained for the distribution of ordered pairs （x, x^-1） with x a primitive λ-root, and for the number of primitive A-roots satisfying inequalities such as ｜x - x^-1｜≤ B.

关 键 词：λ-Roots Primitive roots 

分 类 号：O17[理学—数学]