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 resu...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.展开更多
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.
文摘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.
