Chinese Quarterly Journal of Mathematics ›› 2008, Vol. 23 ›› Issue (1): 115-119.

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On the Smarandache LCM Sequence 

  

  1. 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)

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(nk), and give some interesting relevant results.

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

CLC Number: