A study of restricted divisor functions with coprime conditions

Abstract

For a natural number N, let (Formula Presented) The formula for convolution sums (Formula Presented) is very well known. In this article, (Formula Presented) is calculated using arithmetical inverse of ? defined by Dirichlet convolution. Furthermore, we define the homogeneous Dirichlet convolution sum of arithmetical functions and find formulas of the homogeneous Dirichlet convolution sums of the inverse divisor functions. © 2024, MTJPAM Turkey. All rights reserved.