CONVOLUTION SUM OF DIVISOR FUNCTIONS GIVEN THE CONDITIONS OF COPRIME†

Soung Douk Lee; Daeyeoul Kim

doi:10.14317/jami.2023.1227

CONVOLUTION SUM OF DIVISOR FUNCTIONS GIVEN THE CONDITIONS OF COPRIME^†

Soung Douk Lee
, Daeyeoul Kim^*

^*Corresponding author for this work

Department of Mathematics

Kongju National University

Research output: Contribution to journal › Journal article › peer-review

Abstract

The study of convolution sums for divisor functions is an area that has been extensively researched by many mathematicians including Ramanujan. The aim of this paper is to find the formula for convolution sum of divisor functions with coprime conditions.

Original language	English
Pages (from-to)	1227-1235
Number of pages	9
Journal	Journal of Applied Mathematics and Informatics
Volume	41
Issue number	6
DOIs	https://doi.org/10.14317/jami.2023.1227
State	Published - 2023

Keywords

convolution sum
Dirichlet convolution
divisor functions

Quacquarelli Symonds(QS) Subject Topics

Computer Science & Information Systems
Mathematics

Access to Document

10.14317/jami.2023.1227

Cite this

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title = "CONVOLUTION SUM OF DIVISOR FUNCTIONS GIVEN THE CONDITIONS OF COPRIME†",

abstract = "The study of convolution sums for divisor functions is an area that has been extensively researched by many mathematicians including Ramanujan. The aim of this paper is to find the formula for convolution sum of divisor functions with coprime conditions.",

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year = "2023",

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language = "English",

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N2 - The study of convolution sums for divisor functions is an area that has been extensively researched by many mathematicians including Ramanujan. The aim of this paper is to find the formula for convolution sum of divisor functions with coprime conditions.

AB - The study of convolution sums for divisor functions is an area that has been extensively researched by many mathematicians including Ramanujan. The aim of this paper is to find the formula for convolution sum of divisor functions with coprime conditions.

KW - convolution sum

KW - Dirichlet convolution

KW - divisor functions

UR - https://www.scopus.com/pages/publications/85178952439

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DO - 10.14317/jami.2023.1227

M3 - Journal article

AN - SCOPUS:85178952439

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JO - Journal of Applied Mathematics and Informatics

JF - Journal of Applied Mathematics and Informatics

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