关于Smarandache LCM序列

数学季刊 ›› 2008, Vol. 23 ›› Issue (1): 115-119.

关于Smarandache LCM序列

Department of Mathematics Northwest University,,Xi’an 710069,China

收稿日期:2007-06-04 出版日期:2008-03-30 发布日期:2023-10-16
作者简介:XUE Xi-feng(1961-), male, native of Weinan, Shannxi, an associate professor of Northwest University, engages in analytic number theory.
基金资助:
Supported by the NSF of China(10671155)

On the Smarandache LCM Sequence

Department of Mathematics Northwest University,,Xi’an 710069,China

Received:2007-06-04 Online:2008-03-30 Published:2023-10-16
About author:XUE Xi-feng(1961-), male, native of Weinan, Shannxi, an associate professor of Northwest University, engages in analytic number theory.
Supported by:
Supported by the NSF of China(10671155)

摘要/Abstract

摘要： For any positive integer n,let L(n) = [1,2,...,n] be the least common multiple of the integers from 1 to n.Let k be any positive integer.The main purpose of this paper is to study the asymptotic property of L(n^k), and give some interesting relevant results.

关键词: least common multiple, Smarandache LCM sequence, asymptotic formula, Limit

Abstract: For any positive integer n,let L(n) = [1,2,...,n] be the least common multiple of the integers from 1 to n.Let k be any positive integer.The main purpose of this paper is to study the asymptotic property of L(n^k), and give some interesting relevant results.

Key words: least common multiple, Smarandache LCM sequence, asymptotic formula, Limit

中图分类号:

O156.4

薛西峰. 关于Smarandache LCM序列[J]. 数学季刊, 2008, 23(1): 115-119.

XUE Xi-feng. On the Smarandache LCM Sequence [J]. Chinese Quarterly Journal of Mathematics, 2008, 23(1): 115-119.

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