On the lcm-sum function

Soichi Ikeda, Kaneaki Matsuoka

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We consider a generalization of the lcm-sum function, and we give two kinds of asymptotic formulas for the sum of that function. Our results include a generalization of Bordellès’s results and a refinement of the error estimate of Alladi’s result. We prove these results by the method similar to those of Bordellès.

Original languageEnglish
Article number14.1.7
JournalJournal of Integer Sequences
Volume17
Issue number1
Publication statusPublished - 2013 Dec 27
Externally publishedYes

Keywords

  • Arithmetic function
  • Lcm-sum function
  • Least common multiple

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics

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  • Cite this

    Ikeda, S., & Matsuoka, K. (2013). On the lcm-sum function. Journal of Integer Sequences, 17(1), [14.1.7].