摘要
引入了两个新的算术函数,并利用Perron公式给出了两个均值公式.结果表明,这两个不同的函数具有相同的均值分布.
Mean value problems of arithmetical functions play an important role in the study of analytic number theory, and they relate to many famous number theoretic problems. In this paper,'two new arithmetical functions are introduced, and two interesting mean value formulae are given, by using the Perron formula. The results show that these two different functions have the same mean value distributlons.
出处
《宁夏大学学报(自然科学版)》
CAS
北大核心
2006年第1期15-17,共3页
Journal of Ningxia University(Natural Science Edition)
基金
国家自然科学基金资助项目(10271093
60472068)
关键词
算术函数
均值
渐近公式
arithmetical funetion
mean value
asymptotic formula