On the lcm-sum function

Soichi Ikeda; Kaneaki Matsuoka

On the lcm-sum function

Soichi Ikeda, Kaneaki Matsuoka

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

4 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 language	English
Article number	14.1.7
Journal	Journal of Integer Sequences
Volume	17
Issue number	1
Publication status	Published - 2013 Dec 27

Keywords

Arithmetic function
Lcm-sum function
Least common multiple

ASJC Scopus subject areas

Discrete Mathematics and Combinatorics

Cite this

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title = "On the lcm-sum function",

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 Bordell{\`e}s{\textquoteright}s results and a refinement of the error estimate of Alladi{\textquoteright}s result. We prove these results by the method similar to those of Bordell{\`e}s.",

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AU - Matsuoka, Kaneaki

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N2 - 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.

AB - 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.

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KW - Least common multiple

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On the lcm-sum function

Abstract

Keywords

ASJC Scopus subject areas

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