哈尔滨工业大学学报（英文版）2006，Vol.13Issue(4)：502-503,2.
Positive integers possessing a weak order
Positive integers possessing a weak order
LIU Hong-quan1
作者信息
- 1. Dept. of Mathematics, Harbin Institute of Technology, Harbin 150001, China
- 折叠
摘要
Abstract
Let m be a positive integer, g (m) be the number of integers t for which 1 ≤ t ≤ m and there does not exist a positive integer n satisfying ( t = t(n) )tn+1 ≡ t(modm).For a number x ≥ 3, letG(x) = ∑m≤xg(m).In this paper, we obtain the asymptotic formula:G(x) = αx2 + O(xlogx),as x→∞.Our result improves the corresponding result with an error term O(xlog2x) of Yang Zhaohua obtained in 1986.关键词
integers possessing a weak order/asymptotic formulaKey words
integers possessing a weak order/asymptotic formula分类
数理科学引用本文复制引用
LIU Hong-quan..Positive integers possessing a weak order[J].哈尔滨工业大学学报（英文版）,2006,13(4):502-503,2.
