| 摘要: |
| 利用解析方法研究U(1)=1,U(n)=∏p︱n p和V(1)=1,V(pT)=pT-1,V(p1T1p2T2…psTs)=V(p1T1)V(p2T2)…V(psTs)两个数论函数与除数函数eT(n)的混合均值分布性质,得出3个较为精确的渐近公式. |
| 关键词: 数论函数 混合均值 渐近公式 |
| DOI： |
| 投稿时间：2007-12-10 |
| 基金项目:国家自然科学基金项目(10271093);陕西省自然科学基金项目(2004A09)资助 |
|
| Hybrid Mean Value about Two New Arithmetical Functions |
|
FENG Qiang, WANG Rong-bo
|
| (College of Mathematics and Computer Science, Yan'an University, Yan'an, Shaanxi, 716000, China) |
| Abstract: |
| Two new arithmetical functions are introduced, and three sharped asymptotic formular about this two new arithmetical functions and divisor function are given by using the analytic methods. |
| Key words: arithmetical function hybrid mean value asymptotic formula |
