摘要
利用解析的方法,研究了数论专家FSm arandache在其《On ly P rob lem s N ot So lutions》一书中提出的第80个问题,得到了平方根序列a(n)及其推广形式的一些有趣的渐进公式。
According to one sequence in the 80′ thproblem ,which was presented by numbertheoretic expert F. Smarandache in his only prcblem not solutions,the sequence is denoted by α（n）. Using the Euler summation, Abel equation formula and other existed results about number-theoretic function as well as the idea of section,the asymptotic formula os ∑n≤xα（n） and its generalization are obtained,then a series of regular results is obtained.
出处
《延安大学学报（自然科学版）》
2006年第2期10-11,共2页
Journal of Yan'an University：Natural Science Edition
关键词
数论函数
均值公式
渐进公式
square root
mean value
asymptotic formula.
