关于Smarandache kn数列及其与Smarandache LCM函数的混合均值  

Smarandache kn-digital sequence and it’s asymptotic properties of Smarandache LCM function

作　　者：黄炜 刘龙展 HUANG Wei;LIU Longzhan(Department of Basic,Xinjiang Institute of Science and Technology,Korla Xinjiang 841000)

机构地区：[1]新疆科技学院基础教学研究部,新疆库尔勒841000

出　　处：《首都师范大学学报（自然科学版）》2023年第6期12-15,共4页Journal of Capital Normal University：Natural Science Edition

基　　金：国家自然科学基金项目(12126357)。

摘　　要：应用解析方法、初等方法和组合方法,研究了Smarandache kn数字数列a[k,n]与Smarandache LCM函数SL(n)的复合均值分布性质,给出了一个较强均值渐近公式;还利用初等方法研究了Smarandache kn-数字子序列无穷级数f(m,k)的收敛性。The properties of the hybrid mean value of Smarandache kn-digital series with Smarandache LCM function SL(n)are studied using elementary and combinational methods,and one sharper asymptotic formulae for it are presented.Also the main purpose of this paper is using the elementary method to study the convergent properties of the infinite series involving the Smarandache kn-digital subsequence f(m,k).

关 键 词：Smarandache kn数字数列 Smarandache LCM函数SL(n) 均值 渐近公式 无穷级数 收敛性 

分 类 号：O156.4[理学—数学]